 # 5th Grade Fraction Problems and Practice Exercises

In 5th grade, students further their understanding of fractions by adding and subtracting fractions with unlike denominators. They also learn to multiply and divide fractions with whole numbers. If your child needs additional practice, keep reading for a fraction review and sample practice questions. ## How to Solve Fraction Equations in 5th Grade

To add or subtract two fractions, both must have the same denominator. This is known as equivalent fractions. If your child is struggling with solving fraction problems with unlike denominators, follow the guidelines below.

In order to solve a problem like 3/4 + 5/6, the two fractions must have the same denominator. First, identify the common factor. For this problem, four and six are both factors of 12, so the denominator for both fractions needs to be 12. Multiply 3/4 by 3/3, so the fraction becomes 9/12. Then, multiply 5/6 by 2/2 which equals 10/12. As a result, the new addition problem should look like this: 9/12 + 10/12 = 19/12.

## Practice Exercises

### Addition and Subtraction

1. 1/2 - 1/4

If your child is just beginning to study fractions with unlike denominators, you may want to start out your review with easier problems to boost his or her confidence. This problem is simple because only the first fraction needs to be changed to make the fractions equivalent. Multiply 1/2 by 2/2 so that it equals 2/4. Then, solve like normal: 2/4 - 1/4 = 1/4.

2. 5/6 - 2/3

The common factor for both fractions is six. Multiply the second fraction (2/3) by 2/2, so that it becomes 4/6. Then, subtract: 5/6 - 4/6 = 1/6.

3. 6/7 + 1/8

This problem is more difficult because the only common denominator for both fractions is 56. Begin by multiplying: 6/7 x 8/8 = 48/56. Do the same for the second fraction: 1/8 x 7/7 = 7/56. Then, add: 48/56 + 7/56 = 55/56.

### Multiplication and Division

1. 1/4 x 3

Begin by turning the whole number (3) into a fraction, so the equation should look like this: 1/4 x 3/1. Then, multiply (1 x 3) / (4 x 1) = 3/4.

2. 4 x 2/7

The answer to this problem is 8/7.

3. 3/8 x 6

The answer for this problem is 18/8, or 9/4. Note that the answer for this problem needs to be simplified. Often, this is a step that students forget to do. Remind your child at home to always check if an answer can be simplified.

4. 5 ÷ 2/6

Because this is a division problem, remember to flip the fraction, making it a reciprocal fraction. The equation should look like this: 5 x 6/2 = 5 x 3 = 15.

Did you find this useful? If so, please let others know!

## We Found 7 Tutors You Might Be Interested In

### Huntington Learning • What Huntington Learning offers:
• Online and in-center tutoring
• One on one tutoring
• Every Huntington tutor is certified and trained extensively on the most effective teaching methods
In-Center and Online

### K12 • What K12 offers:
• Online tutoring
• Has a strong and effective partnership with public and private schools
• AdvancED-accredited corporation meeting the highest standards of educational management
Online Only

### Kaplan Kids • What Kaplan Kids offers:
• Online tutoring
• Customized learning plans
• Real-Time Progress Reports track your child's progress
Online Only

### Kumon • What Kumon offers:
• In-center tutoring
• Individualized programs for your child
• Helps your child develop the skills and study habits needed to improve their academic performance
In-Center and Online

### Sylvan Learning • What Sylvan Learning offers:
• Online and in-center tutoring
• Sylvan tutors are certified teachers who provide personalized instruction
• Regular assessment and progress reports
In-Home, In-Center and Online

### Tutor Doctor • What Tutor Doctor offers:
• In-Home tutoring
• One on one attention by the tutor
• Develops personlized programs by working with your child's existing homework
In-Home Only

### TutorVista • What TutorVista offers:
• Online tutoring
• Student works one-on-one with a professional tutor
• Using the virtual whiteboard workspace to share problems, solutions and explanations
Online Only