What TEK is comparing fractions?

This worksheet features questions assessing TEKS standard 3.3(H) which reads "compare two fractions having the same numerator or denominator in problems by reasoning about their sizes and justifying the conclusion using symbols, words, objects, and pictorial models."

What is the math curriculum for 4th grade in Texas?

(4) The primary focal areas in Grade 4 are use of operations, fractions, and decimals and describing and analyzing geometry and measurement . These focal areas are supported throughout the mathematical strands of number and operations, algebraic reasoning, geometry and measurement, and data analysis.

How to compare and order fractions?

When comparing and ordering fractions, you must have a common denominator. After you find a common denominator, you can simply compare the numerators of the fractions . If the fraction also includes a whole number, you would compare the whole number before finding the common denominator.

What is the easiest method to compare fractions?

To compare fractions, all you have to do is to make it so that they have the same denominator and then see which fraction has the greater numerator -- this will tell you which fraction is greater. The tricky part is knowing how to make sure the fractions have like denominators, but it doesn't have to be so hard.

What is an example of comparing fractions?

5/11 and 4/11 have the same denominators; hence, we can simply compare the fractions by observing the numerators. The fraction with a larger numerator will be the larger fraction. 5 > 4. Therefore, 5/11 > 4/11.

How do you teach comparing fractions?

Students can compare area models to compare fractions either by using physical fraction manipulatives or by drawing pictures . In an area model, the model that represents the larger area is the larger fraction. Students can use number lines to compare fractions by plotting the points on one or on two number lines.

Why is comparing fractions so difficult?

What makes it difficult is that there are MANY "operations" (ways to manipulate fractions), and the rules for these use the common operations with whole numbers in a myriad of different ways . Just look at the amount of operations there are to learn about fractions — and the rules for those!

Is 4th grade math hard?

There's a lot of math to learn in fourth grade, and it can take extra practice . Say that it's OK if learning math feels tough. If you ever struggled with math, be open about that. It helps kids understand that they're not the only ones who struggle.

How old are 4th graders in Texas?

It is the fourth year of primary school. Children in fourth grade are usually 9–10 years old .

What math level is 4th grade?

In fourth grade, students focus most on using all four operations - addition, subtraction, multiplication, and division - to solve multi-step word problems involving multi-digit numbers. Fourth-grade math extends their understanding of fractions, including equal (equivalent) fractions and ordering fractions.

How do you compare fractions in Year 4?

Since the numerator (top number) never changes with a unit fraction, you have to look at the denominator (bottom number) to compare two fractions . The bigger the denominator, the smaller the fraction! This is because if the denominator is higher, the whole has been split up into more parts.

What is the process of comparing fractions?

Step 1: Find the LCM of the denominators of the given fractions. Step 2: Convert each fraction to its equivalent fraction with the denominator equal to LCM obtained in the above step. Step 3: Compare the numerators of the equivalent fractions. Step 4: The fraction with a larger numerator is larger.

Texas Go Math Grade 4 Lesson 4.3 Answer Key Compare and Order Fractions (2024)

Refer to our Texas Go Math Grade 4 Answer Key Pdf to score good marks in the exams. Test yourself by practicing the problems from Texas Go Math Grade 4 Lesson 4.3 Answer Key Compare and Order Fractions.

Essential Question

How can you order fractions?
Answer:

Step 1: Find the least common denominators. Given a set of fractions with unlike denominators, find the least common denominator (LCD) shared by the fractions. …
Step 2: Determine the equivalent fractions sharing the LCD. …
Step 3: Arrange the numerators. …
Step 4: Rewrite the fractions.

Unlock the Problem

Underline what you need to find.
Circle the fractions you will compare.

Jody has equal-size bins for the recycling center. She tilled \(\frac{3}{5}\) of a bin with plastics, \(\frac{1}{12}\) of a bin with paper, and \(\frac{9}{10}\) of a bin with glass. Which bin is the most full?
Answer: \(\frac{9}{10}\)
Explanation:
Make common denominator for all
\(\frac{3}{5}\) = \(\frac{36}{60}\)
\(\frac{1}{12}\) = \(\frac{5}{60}\)
\(\frac{9}{10}\) = \(\frac{54}{60}\)

Math Idea
Sometimes it is not reasonable to find the exact location of a point on a number line. Benchmarks can help you find approximate locations.

Example 1

Locate and label \(\frac{3}{5}\), \(\frac{1}{12}\), and \(\frac{9}{10}\) on the number line.

STEP 1 Compare each fraction to \(\frac{1}{2}\).

___________ and __________ are both greater than 3.
___________ is less than \(\frac{1}{2}\).
Label \(\frac{1}{12}\) on the number line above.
Answer:

latex]\frac{3}{5}[/latex] and latex]\frac{9}{10}[/latex] are both greater than 3.
latex]\frac{1}{12}[/latex] is less than \(\frac{1}{2}\).
Label \(\frac{1}{12}\) on the number line above.

STEP 2 Compare \(\frac{3}{5}\) and \(\frac{9}{10}\).
Think: Use 10 as a denominator.

Since \(\frac{6}{10}\) ___________ \(\frac{9}{10}\), you know that \(\frac{3}{5}\) ___________ \(\frac{9}{10}\).
Label \(\frac{3}{5}\) and \(\frac{9}{10}\) on the number line above.
Answer:

Since \(\frac{6}{10}\) < \(\frac{9}{10}\), you know that \(\frac{3}{5}\) <\(\frac{9}{10}\).
Label \(\frac{3}{5}\) and \(\frac{9}{10}\) on the number line above.

The fraction the greatest distance from 0 has the greatest value.
The fraction with the greatest value is ____________ .
So, the bin with ____________ is the most full.
Answer:

Math Talk

Mathematical Processes
Explain how to write \(\frac{3}{5}\) and \(\frac{9}{10}\) as decimals in hundredths and compare their distances from 0.
Answer:
\(\frac{3}{5}\) = \(\frac{60}{100}\)
\(\frac{9}{10}\) = \(\frac{90}{100}\)

Explain how to write \(\frac{3}{5}\) and \(\frac{9}{10}\) as decimals in tenths and compare their distances from 0.

Answer:

Example 2

Question 6.
\(\frac{1}{4}\) < \(\frac{5}{12}\) < \(\frac{}{6}\)
Answer: \(\frac{1}{4}\) < \(\frac{5}{12}\) < \(\frac{1}{6}\)
Explanation:
Make the common denominator for all
\(\frac{1}{4}\) = \(\frac{3}{12}\)
\(\frac{5}{12}\) = \(\frac{5}{12}\)
\(\frac{}{6}\) = \(\frac{6}{12}\) = \(\frac{1}{6}\)

Go Math Lesson 4.3 4th Grade Homework Answer Key Question 7.
\(\frac{}{8}\) < \(\frac{3}{4}\) < \(\frac{7}{8}\)
Answer: \(\frac{5}{8}\) < \(\frac{3}{4}\) < \(\frac{7}{8}\)
Explanation:
Make the common denominator for all
\(\frac{}{8}\) = \(\frac{5}{8}\)
\(\frac{3}{4}\) = \(\frac{6}{8}\)
\(\frac{7}{8}\) = \(\frac{7}{8}\)

Problem Solving

Question 8.
H.O.T. Multi-Step Nancy, Lionel, and Mavis ran in a 5-kilometer race. The table shows their finish times. In what order did Nancy, Lionel, and Mavis finish the race?

Answer:

a. What do you need to find?
Answer:

b. What information do you need to solve the problem?
Answer:

c. What information is not necessary?
Answer:

d. How will you solve the problem?
Answer:

e. Show the steps to solve the problem.
Answer:

f. Complete the sentences.
The runner who finished first is _________ .
The runner who finished second is _________ .
The runner who finished third is __________ .
Answer:

Question 9.
Multi-Step Alma used 3 beads to make a necklace. The lengths of the beads are \(\frac{5}{6}\) inch, \(\frac{5}{12}\) inch, and \(\frac{1}{3}\) inch. What are the lengths in order from shortest to longest?
Answer: \(\frac{1}{3}\) , \(\frac{5}{12}\), \(\frac{5}{6}\)
Explanation:
Make the common denominator for all
\(\frac{5}{6}\) = \(\frac{10}{12}\)
\(\frac{5}{12}\) = \(\frac{5}{12}\)
\(\frac{1}{3}\) = \(\frac{4}{12}\)

Question 10.
H.O.T. Apply Portia lias done \(\frac{3}{7}\) of her English homework, \(\frac{6}{7}\) of her math homework, and \(\frac{6}{11}\) of her geography homework. Which subject is most complete? Which subject does she have the most left to do?
Answer: Math subject is most completed. English subject most left .
Explanation:
Make the common denominator for all
\(\frac{3}{7}\) = \(\frac{33}{77}\)
\(\frac{6}{7}\) = \(\frac{66}{77}\)
\(\frac{6}{11}\) = \(\frac{42}{77}\)

Daily Assessment Task

Fill in the bubble completely to show your answer.

Question 11.
Use Diagrams Students voted for their favorite hat on Crazy Hat Day. An alien baseball cap got \(\frac{1}{4}\) of the votes, a flower power hat got \(\frac{5}{8}\) of the votes, and an animal look-alike hat got \(\frac{1}{12}\) of the votes. Which shows the fractions written in order from least to greatest?

(A) \(\frac{1}{12}\) < \(\frac{5}{8}\) < \(\frac{1}{4}\)
(B) \(\frac{1}{12}\) < \(\frac{1}{4}\) < \(\frac{5}{8}\)
(C) \(\frac{5}{8}\) < \(\frac{1}{4}\) < \(\frac{1}{12}\)
(D) \(\frac{1}{4}\) < \(\frac{1}{12}\) < \(\frac{5}{8}\)
Answer: B
Explanation:
Make the common denominator for all
\(\frac{1}{4}\) = \(\frac{6}{24}\)
\(\frac{5}{8}\) = \(\frac{15}{24}\)
\(\frac{1}{12}\) = \(\frac{2}{24}\)

Lesson 4.3 4th Grade Practice and Homework Answer Key Question 12.
Multi-Step The fourth grade gym class ran a relay. The first runner ran \(\frac{4}{5}\) mile, the second runner ran \(\frac{3}{10}\) mile, the third runner ran \(\frac{1}{5}\) mile and the fourth runner ran \(\frac{7}{10}\) mile Compare \(\frac{4}{5}, \frac{3}{10}, \frac{1}{5}\), and \(\frac{7}{10}\). Which fraction represents the greatest distance?

(A) \(\frac{4}{5}\)
(B) \(\frac{3}{10}\)
(C) \(\frac{1}{5}\)
(D) \(\frac{7}{10}\)
Answer: \(\frac{4}{5}\)
Explanation:
Make the common denominator for all
\(\frac{4}{5}\) = \(\frac{8}{10}\)
\(\frac{3}{10}\) = \(\frac{3}{10}\)
\(\frac{1}{5}\) = \(\frac{2}10}\)
\(\frac{7}{10}\) = \(\frac{7}{10}\)

Question 13.
Multi-Step The three puppies at the animal shelter weighed \(\frac{2}{3}\) pound, \(\frac{5}{6}\) pound, and \(\frac{7}{12}\) pound. Compare \(\frac{2}{3}\), \(\frac{5}{6}\), and \(\frac{7}{12}\). Which shows the fractions written in order from least to greatest?
(A) \(\frac{2}{3}\) < \(\frac{7}{12}\) < \(\frac{5}{6}\)
(B) \(\frac{2}{3}\) < \(\frac{5}{6}\) < \(\frac{7}{12}\)
(C) \(\frac{7}{12}\) < \(\frac{5}{6}\) < \(\frac{2}{3}\)
(D) \(\frac{7}{12}\) < \(\frac{2}{3}\) < \(\frac{5}{6}\)
Answer: \(\frac{7}{12}\) < \(\frac{2}{3}\) < \(\frac{5}{6}\)
Make the common denominator for all
\(\frac{2}{3}\) = \(\frac{8}{12}\)
\(\frac{5}{6}\) = \(\frac{10}{12}\)
\(\frac{7}{12}\) = \(\frac{7}{12}\)

TEXAS Test Prep

Question 14.
A recipe for Trail Mix includes \(\frac{3}{10}\) cup of sunflower seeds, \(\frac{1}{2}\) cup of raisins, and \(\frac{3}{8}\) cup of granola. Which list shows the amounts from least to greatest?
(A) \(\frac{1}{2}\)cup, \(\frac{3}{8}\)cup, \(\frac{3}{10}\)cup
(B) \(\frac{3}{8}\)cup, \(\frac{3}{10}\)cup, \(\frac{1}{2}\)cup
(C) \(\frac{3}{10}\)cup, \(\frac{3}{8}\)cup, \(\frac{1}{2}\)cup
(D) \(\frac{3}{10}\)cup, \(\frac{1}{2}\)cup, \(\frac{3}{8}\)cup
Answer: \(\frac{2}{8},\frac{2}{6}, \frac{2}{4} \)
Explanation: (C) \(\frac{3}{10}\)cup, \(\frac{3}{8}\)cup, \(\frac{1}{2}\)cup
Make the common denominator for all
\(\frac{3}{10}\) = \(\frac{12}{40}\)
\(\frac{1}{2}\) = \(\frac{20}{40}\)
\(\frac{3}{8}\) = \(\frac{15}{40}\)

Texas Go Math Grade 4 Lesson 4.3 Homework and Practice Answer Key

Write the fractions in order from least to greatest.

Question 1.
\(\frac{2}{8}, \frac{2}{4}, \frac{2}{6}\)
Answer: \(\frac{2}{8},\frac{2}{6}, \frac{2}{4} \)
Explanation:
Make the common denominator for all
\(\frac{2}{8}\) = \(\frac{6}{24}\)
\(\frac{2}{4}\) = \(\frac{12}{24}\)
\(\frac{2}{6}\) = \(\frac{8}{24}\)

Question 2.
\(\frac{2}{5}, \frac{1}{3}, \frac{5}{6}\)
Answer: \(\frac{1}{3},\frac{2}{5}, \frac{5}{6}\)
Explanation:
Make the common denominator for all
\(\frac{2}{5}\) = \(\frac{12}{30}\)
\(\frac{1}{3}\) = \(\frac{10}{30}\)
\(\frac{5}{6}\) = \(\frac{25}{30}\)

Write a numerator that makes the statement true.

Question 3.
\(\frac{7}{12}\) < \(\frac{}{3}\) < \(\frac{3}{4}\)
Answer: \(\frac{7}{12}\) < \(\frac{2}{3}\) < \(\frac{3}{4}\)
Explanation:
Make the common denominator for all
\(\frac{7}{12}\) = \(\frac{7}{12}\)
\(\frac{}{3}\) = \(\frac{8}{12}\) = latex]\frac{2}{3}[/latex]
\(\frac{3}{4}\) = \(\frac{9}{12}\)

Go Math Grade 4 Lesson 4.3 Practice and Homework Answer Key Question 4.
\(\frac{}{10}\) < \(\frac{9}{15}\) < \(\frac{4}{5}\)
Answer: \(\frac{5}{10}\) < \(\frac{9}{15}\) < \(\frac{4}{5}\)
Explanation:
Make the common denominator for all
\(\frac{}{10}\) = \(\frac{15}{30}\) =\(\frac{5}{10}\)
\(\frac{9}{15}\) = \(\frac{18}{30}\)
\(\frac{4}{5}\) = \(\frac{24}{30}\)

Problem Solving

Question 5.
Walt, Dalia, and Kyra ran a race. The table shows their finish times. In what order did Walt, Dalia, and Kyra finish the race?

Answer: Paul, Dalia , Walt , Kyra
Explanation:
Walt – \(\frac{4}{5}\) = 0.8 hour = 48 min
Dalia –\(\frac{2}{3}\) = 0.66 hour =39.6 min
Kyra – \(\frac{5}{6}\) = 0.83 hour = 49.8 min
Paul- \(\frac{3}{10}\) = 0.3 hour = 18 min

Question 6.
Walt’s friend Paul also ran in the race. Who finished first, Walt or Paul?
Answer: Paul Finished first.
Explanation:
Walt – \(\frac{4}{5}\) = 0.8 hour = 48 min
Dalia –\(\frac{2}{3}\) = 0.66 hour =39.6 min
Kyra – \(\frac{5}{6}\) = 0.83 hour = 49.8 min
Paul- \(\frac{3}{10}\) = 0.3 hour = 18 min

Lesson Check

Fill in the bubble completely to show your answer.

Question 7.
A recipe for ice cream includes \(\frac{3}{4}\) cup milk, \(\frac{1}{3}\) cup cream, and \(\frac{1}{8}\) cup sugar. Which shows the amounts from least to greatest?
(A) \(\frac{1}{3}\)cup, \(\frac{3}{4}\)cup, \(\frac{1}{8}\)cup
(B) \(\frac{1}{8}\)cup, \(\frac{3}{4}\)cup, \(\frac{1}{8}\)cup
(C) \(\frac{1}{3}\)cup, \(\frac{3}{4}\)cup, \(\frac{1}{8}\)cup
(D) \(\frac{1}{8}\)cup, \(\frac{1}{3}\)cup,\(\frac{3}{4}\)cup
Answer: D
Explanation:
\(\frac{1}{3}\) = 0.33
\(\frac{3}{4}\) = 0.75
\(\frac{1}{8}\) = 0.12

Question 8.
Order the fractions from least to greatest.
\(\frac{4}{5}, \frac{1}{3}, \frac{7}{10}, \frac{3}{5}\)
(A) \(\frac{1}{3}\) < \(\frac{3}{5}\) < \(\frac{7}{10}\) < \(\frac{4}{5}\)
(B) \(\frac{3}{5}\) < \(\frac{1}{3}\) < \(\frac{4}{5}\) < \(\frac{7}{10}\)
(C) \(\frac{7}{10}\) < \(\frac{3}{5}\) < \(\frac{1}{3}\) < \(\frac{4}{5}\)
(D) \(\frac{4}{5}\) < \(\frac{7}{10}\) < \(\frac{1}{3}\) < \(\frac{3}{5}\)
Answer:
Explanation:
\(\frac{4}{5}\) =0.8
\(\frac{7}{10}\) =0.7
\(\frac{1}{3}\) = 0.33
\(\frac{3}{5}\) = 0.6
Based on above decimal value , below is the order from least to greatest
\(\frac{1}{3}\) < \(\frac{3}{5}\) < \(\frac{7}{10}\) < \(\frac{4}{5}\)

Question 9.
Order the fractions from least to greatest.
\(\frac{2}{3}, \frac{1}{4}, \frac{5}{12}, \frac{3}{4}\)
(A) \(\frac{1}{4}, \frac{2}{3}, \frac{5}{12}, \frac{3}{4}\)
(B) \(\frac{3}{4}, \frac{5}{12}, \frac{2}{3}, \frac{1}{4}\)
(C) \(\frac{1}{4}, \frac{5}{12}, \frac{2}{3}, \frac{3}{4}\)
(D) \(\frac{1}{4}, \frac{5}{12}, \frac{3}{4}, \frac{2}{3}\)
Answer: (D) \(\frac{1}{4}, \frac{5}{12}, \frac{3}{4}, \frac{2}{3}\)
Explanation:
\(\frac{2}{3}\) =0.66
\(\frac{1}{4}\) =0.25
\(\frac{5}{12}\) = 0.41
\(\frac{3}{4}\) = 0.75
below is the Order the fractions from least to greatest.
\(\frac{1}{4}, \frac{5}{12}, \frac{3}{4}, \frac{2}{3}\)

Question 10.
Three potatoes weigh \(\frac{1}{4}\) pound, \(\frac{5}{8}\) pound, and \(\frac{1}{2}\) pound. Which shows the weights from least to greatest?
(A) \(\frac{1}{4}\)pound, \(\frac{5}{8}\)pound, \(\frac{1}{2}\)pound
(B) \(\frac{1}{2}\)pound, \(\frac{1}{4}\)pound, \(\frac{5}{8}\)pound
(C) \(\frac{5}{8}\)pound, \(\frac{1}{2}\)pound, \(\frac{1}{4}\)pound
(D) \(\frac{1}{4}\)pound, \(\frac{1}{2}\)pound, \(\frac{5}{8}\)pound
Answer: (D) \(\frac{1}{4}\)pound, \(\frac{1}{2}\)pound, \(\frac{5}{8}\)pound
Explanation:
\(\frac{1}{4}\) = 0.25
\(\frac{5}{8}\) = 0.625
\(\frac{1}{2}\) = 0.5
Based on the above decimal values of weights, below is the order from least to greatest
\(\frac{1}{4}\)pound, \(\frac{1}{2}\)pound, \(\frac{5}{8}\)pound

My Homework Lesson 4.3 Compare and Order Fractions Answer Key Question 11.
Multi-Step Selma used stones to outline her garden. The lengths of the stones are \(\frac{1}{3}\)foot, \(\frac{7}{12}\) foot, and \(\frac{3}{4}\) foot. What are the lengths in order from shortest to longest?
(A) \(\frac{7}{12}\)foot, \(\frac{3}{4}\)foot, \(\frac{1}{3}\)foot
(B) \(\frac{1}{3}\)foot, \(\frac{7}{12}\)foot, \(\frac{3}{4}\)foot
(C) \(\frac{3}{4}\)foot, \(\frac{7}{12}\)foot, \(\frac{1}{3}\)foot
(D) \(\frac{7}{12}\)foot, \(\frac{1}{3}\)foot, \(\frac{3}{4}\)foot
Answer: (B) \(\frac{1}{3}\)foot, \(\frac{7}{12}\)foot, \(\frac{3}{4}\)foot
Explanation:
\(\frac{7}{12}\) =0.58
\(\frac{3}{4}\) = 0.75
\(\frac{1}{3}\) = 0.33
Based on above decimal values of lengths, below is the order fromshortest to longest
\(\frac{1}{3}\)foot, \(\frac{7}{12}\)foot, \(\frac{3}{4}\)foot

Question 12.
Multi-Step Ms. Mohan bought cheese for a recipe. She bought \(\frac{5}{6}\) pound of cheddar cheese, \(\frac{1}{4}\) pound of Swiss cheese, and \(\frac{3}{8}\) pound of American cheese. What are the amounts in order from least to greatest?
(A) \(\frac{5}{6}\)pound, \(\frac{1}{4}\)pound, \(\frac{3}{8}\)pound
(B) \(\frac{3}{8}\)pound, \(\frac{5}{6}\)pound, \(\frac{1}{4}\)pound
(C) \(\frac{1}{4}\)pound, \(\frac{3}{8}\)pound, \(\frac{5}{6}\)pound
(D) \(\frac{3}{8}\)pound, \(\frac{1}{4}\)pound, \(\frac{5}{6}\)pound
Answer: (C) \(\frac{1}{4}\)pound, \(\frac{3}{8}\)pound, \(\frac{5}{6}\)pound
Explanation:
\(\frac{5}{6}\)= 0.83
\(\frac{1}{4}\) = 0.25
\(\frac{3}{8}\) = 0.37
Based on above decimal values, below is the order from least to greatest
\(\frac{1}{4}\)pound, \(\frac{3}{8}\)pound, \(\frac{5}{6}\)pound

Texas Go Math Grade 4 Lesson 4.3 Answer Key Compare and Order Fractions (2024)

Texas Go Math Grade 4 Lesson 4.3 Homework and Practice Answer Key

FAQs

What TEK is comparing fractions? ›

How do you compare fractions in Year 4? ›