# Fraction Word Problems (Grade 4)

Videos, examples, solutions, and lessons to help Grade 4 students learn to understand a fraction a/b with a > 1 as a sum of fractions 1/b.

A. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
B. Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8.
C. Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.
D. Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction models and equations to represent the problem.

Common Core: 4.NF.3

### Suggested Learning Targets

• I can use models to add and subtract fractions.
• I can use visual models to decompose a fraction. For example, 7/12 = 4/12 + 1/12 + 1/12 + 1/12.
• I can add or subtract mixed numbers.
• I can solve word problems with fractions.

### Word Problems with Like Denominators

Adding & Subtracting Fractions with Like Denominators Word Problems
Adding and subtracting fractions with like denominators in word problem format. Multiple representations are shown in the solutions (area, array, and mathematical methods).
Example:

1. Fuzzology had one cup of dog food in his bowl. He ate 7/8 of the tasty morsels. How much did he have left in his bowl?
2. The “Chickadee Whisperer” puts 3 1/5 cups of sunflower seeds and 1 3/5 cups of mixed seeds into his bird feeder. How many total cups of bird seed are in the feeder?

Adding fractions word problem
Example:
James and Karlee caught a lizard in their backyard. Its body is 17/8 inches long, and its tail is 10/8 inches long. What is the length of the lizard’s body and tail together?

Subtracting fractions word problem
Example:
Pedro is suppose to practice piano for 3/4 of an hour everyday. Today, he has practiced 1/4 of an hour. What fraction of an hour does he need to practice?

Fraction word problems
Example:
Brandon ate 5 slices of pie. Gabriela ate 3 slices. If there are intially 9 equal slices. What fraction of the pie was eaten?

Fraction word Problems
Example:
Ashley ate 1 slice of cake, and Christopher ate 1 slice. If there were initially 5 slices, what fraction of the cake was eaten?

Fraction word problems
Example:
Kevin ate 1 slice of pizza, and Emily ate 2 slices. If Keven ate 1/5 of the pizza, what fraction of the pizza is remaining?

Use visual models and equations to represent and solve word problems involving addition and subtraction of fractions (4.NF.3d)
Example:
Half of a number, increased by 8, gave the same result as the number increased by 2.

4.nf.3abcd
The Common Core State Standards (CCSS) videos are designed to support states, schools, and teachers in the implementation of the CCSS. Each video is an audiovisual resource that focuses on one or more specific standards and usually includes examples/illustrations geared to enhancing understanding. The intent of each content-focused video is to clarify the meaning of the individual standard rather than to be a guide on how to teach each standard although the examples can be adapted for instructional use.

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.