Common Core: 4th Grade Math : Subtracting Fractions In Word Problems

Study concepts, example questions & explanations for Common Core: 4th Grade Math

varsity tutors app store varsity tutors android store

Example Questions

Example Question #91 : How To Subtract Fractions

Megan ordered a pizza and ate \(\displaystyle \frac{3}{10}\) of the pizza. Lindsey ate \(\displaystyle \frac{6}{10}\) of the pizza. How much more did Lindsey eat than Megan? 

 

Possible Answers:

\(\displaystyle \frac{1}{10}\)

\(\displaystyle \frac{3}{10}\)

\(\displaystyle \frac{5}{10}\)

\(\displaystyle \frac{4}{10}\)

\(\displaystyle \frac{2}{10}\)

Correct answer:

\(\displaystyle \frac{3}{10}\)

Explanation:

The phrase, "how much more" tells as that we want to find the difference in how much they ate. 

\(\displaystyle \frac{6}{10}-\frac{3}{10}=\frac{3}{10}\)

3 10

Example Question #116 : Numbers And Operations

Todd ordered a pizza and ate \(\displaystyle \frac{4}{10}\) of the pizza. Chris ate \(\displaystyle \frac{5}{10}\) of the pizza. How much more did Chris eat than Todd? 

 

Possible Answers:

\(\displaystyle \frac{4}{10}\)

\(\displaystyle \frac{2}{10}\)

\(\displaystyle \frac{5}{10}\)

\(\displaystyle \frac{1}{10}\)

\(\displaystyle \frac{3}{10}\)

Correct answer:

\(\displaystyle \frac{1}{10}\)

Explanation:

The phrase, "how much more" tells as that we want to find the difference in how much they ate. 

\(\displaystyle \frac{5}{10}-\frac{4}{10}=\frac{1}{10}\)

1 10

Example Question #92 : How To Subtract Fractions

Olivia ordered a pizza and ate \(\displaystyle \frac{1}{5}\) of the pizza. Jeff ate \(\displaystyle \frac{4}{5}\) of the pizza. How much more did Jeff eat than Olivia? 

 

Possible Answers:

\(\displaystyle \frac{3}{5}\)

\(\displaystyle \frac{4}{5}\)

\(\displaystyle \frac{1}{5}\)

\(\displaystyle \frac{2}{5}\)

\(\displaystyle \frac{5}{5}\)

Correct answer:

\(\displaystyle \frac{3}{5}\)

Explanation:

The phrase, "how much more" tells as that we want to find the difference in how much they ate. 

\(\displaystyle \frac{4}{5}-\frac{1}{5}=\frac{3}{5}\)

3 5

Example Question #117 : Numbers And Operations

Melissa ordered a pizza and ate \(\displaystyle \frac{2}{5}\) of the pizza. Charlie ate \(\displaystyle \frac{3}{5}\) of the pizza. How much more did Charlie eat than Melissa? 

 

Possible Answers:

\(\displaystyle \frac{3}{5}\)

\(\displaystyle \frac{2}{5}\)

\(\displaystyle \frac{5}{5}\)

\(\displaystyle \frac{1}{5}\)

\(\displaystyle \frac{4}{5}\)

Correct answer:

\(\displaystyle \frac{1}{5}\)

Explanation:

The phrase, "how much more" tells as that we want to find the difference in how much they ate. 

\(\displaystyle \frac{3}{5}-\frac{2}{5}=\frac{1}{5}\)

1 5

Example Question #93 : How To Subtract Fractions

A baker used \(\displaystyle \frac{3}{7}\) of a package of sprinkles and \(\displaystyle \frac{5}{7}\) of a package of icing when decorating a cake. How much more icing than sprinkles did the baker use?

 

Possible Answers:

\(\displaystyle \frac{1}{7}\)

\(\displaystyle \frac{2}{7}\)

\(\displaystyle \frac{5}{7}\)

\(\displaystyle \frac{4}{7}\)

\(\displaystyle \frac{3}{7}\)

Correct answer:

\(\displaystyle \frac{2}{7}\)

Explanation:

The phrase, "how much more" tells as that we want to find the difference, so we subtract. 

\(\displaystyle \frac{5}{7}-\frac{3}{7}=\frac{2}{7}\)

2 7

Example Question #94 : How To Subtract Fractions

A baker used \(\displaystyle \frac{2}{7}\) of a package of sprinkles and \(\displaystyle \frac{3}{7}\) of a package of icing when decorating a cake. How much more icing than sprinkles did the baker use?

 

Possible Answers:

\(\displaystyle \frac{5}{7}\)

\(\displaystyle \frac{1}{}7\)

\(\displaystyle \frac{3}{7}\)

\(\displaystyle \frac{2}{7}\)

\(\displaystyle \frac{4}{7}\)

Correct answer:

\(\displaystyle \frac{1}{}7\)

Explanation:

The phrase, "how much more" tells as that we want to find the difference, so we subtract. 

\(\displaystyle \frac{3}{7}-\frac{2}{7}=\frac{1}{7}\)

1 7

Example Question #95 : How To Subtract Fractions

A baker used \(\displaystyle \frac{1}{3}\) of a package of sprinkles and \(\displaystyle \frac{2}{3}\) of a package of icing when decorating a cake. How much more icing than sprinkles did the baker use?

 

Possible Answers:

\(\displaystyle \frac{2}{3}\)

\(\displaystyle \frac{1}{3}\)

\(\displaystyle \frac{3}{3}\)

\(\displaystyle \frac{4}{3}\)

\(\displaystyle \frac{5}{3}\)

Correct answer:

\(\displaystyle \frac{1}{3}\)

Explanation:

The phrase, "how much more" tells as that we want to find the difference, so we subtract. 

\(\displaystyle \frac{2}{3}-\frac{1}{3}=\frac{1}{3}\)

1 3

Example Question #96 : How To Subtract Fractions

A baker used \(\displaystyle \frac{3}{7}\) of a package of sprinkles and \(\displaystyle \frac{6}{7}\) of a package of icing when decorating a cake. How much more icing than sprinkles did the baker use?

 

Possible Answers:

\(\displaystyle \frac{3}{7}\)

\(\displaystyle \frac{2}{7}\)

\(\displaystyle \frac{5}{7}\)

\(\displaystyle \frac{1}{7}\)

\(\displaystyle \frac{4}{7}\)

Correct answer:

\(\displaystyle \frac{3}{7}\)

Explanation:

The phrase, "how much more" tells as that we want to find the difference, so we subtract. 

\(\displaystyle \frac{6}{7}-\frac{3}{7}=\frac{3}{7}\)

3 7

Example Question #61 : Solve Word Problems Involving Addition And Subtraction Of Fractions: Ccss.Math.Content.4.Nf.B.3d

A baker used \(\displaystyle \frac{1}{7}\) of a pound of sprinkles and \(\displaystyle \frac{6}{7}\) of a pound of icing when decorating a cake. How much more icing than sprinkles did the baker use, in pounds?

Possible Answers:

\(\displaystyle \frac{4}{7}\)

\(\displaystyle \frac{6}{}7\)

\(\displaystyle \frac{5}{7}\)

\(\displaystyle \frac{2}{7}\)

\(\displaystyle \frac{3}{7}\)

Correct answer:

\(\displaystyle \frac{5}{7}\)

Explanation:

The phrase, "how much more" tells as that we want to find the difference, so we subtract. 

\(\displaystyle \frac{6}{7}-\frac{1}{7}=\frac{5}{7}\)

5 7

Example Question #291 : Build Fractions From Unit Fractions

A baker used \(\displaystyle \frac{1}{8}\) of a package of sprinkles and \(\displaystyle \frac{2}{8}\) of a package of icing when decorating a cake. How much more icing than sprinkles did the baker use?

Possible Answers:

\(\displaystyle \frac{2}{8}\)

\(\displaystyle \frac{1}{8}\)

\(\displaystyle \frac{4}{8}\)

\(\displaystyle \frac{3}{8}\)

\(\displaystyle \frac{5}{8}\)

Correct answer:

\(\displaystyle \frac{1}{8}\)

Explanation:

The phrase, "how much more" tells as that we want to find the difference, so we subtract. 

\(\displaystyle \frac{2}{8}-\frac{1}{8}=\frac{1}{8}\)

1 8

Learning Tools by Varsity Tutors