MathematicsFreePrintable

Rational Numbers Practice

A free mathematics worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.

Download now
Rational Numbers Practice worksheet preview
Name:Date:

Rational Numbers Practice

Choose all correct answers where asked. Show your thinking for the conversions and explanations.

Recognizing Rational Numbers

A rational number can be written as a fraction of two integers, with a nonzero denominator.

1.Which of these values are rational numbers? Select every correct choice.
  • 5/8
  • 0.4
  • −11
  • π
  • −2.75
2.A ribbon costs $0.80 per yard. Which fraction of a dollar is the same price?
  • 4/5
  • 8/5
  • 80/10
  • 1/8
3.Classify each value as rational or not rational: 3/5, √3, −8, 0.272727…, √16, 0.
4.True or false: Every whole number is rational. Explain your choice using an example.

Fractions and Decimals

Use division or place value to convert between forms. Simplify fractions when possible.

5.Write 5/8 as a decimal.
6.Write 9/20 as a decimal.
7.Write 3/16 as a decimal.
8.Write 0.7 as a fraction in simplest form.
9.Write 0.35 as a fraction in simplest form.
10.Write 1.25 as a fraction in simplest form.
11.Write 1 3/5 as a decimal.
12.Write the repeating decimal 0.444… as a fraction in simplest form.
13.Explain what makes a number rational. Give one example.
14.A smoothie recipe uses 0.6 cup of yogurt. Write 0.6 as a fraction in simplest form. Which form might be more convenient when measuring with a 1/5-cup scoop? Explain.

Rational Numbers on a Number Line

Plot each value at its correct location. Use the labeled scale to help compare negative numbers, fractions, and decimals.

15.Plot and label −1.25, −1/2, 0, 0.75, and 1 1/2 on the number line.
-2-1.5-1-0.500.511.52
16.What part of working with fractions, decimals, or rational numbers felt most challenging to you? What strategy did you use?

3 printable pages

  • Rational Numbers Practice, page 1 of 3: Recognizing Rational Numbers, Fractions and Decimals

    Page 1

  • Rational Numbers Practice, page 2 of 3: 7. Write 3/16 as a decimal.

    Page 2

  • Rational Numbers Practice, page 3 of 3: Rational Numbers on a Number Line

    Page 3

Download now

About This Worksheet

Free in Kuraplan

Sign up free, grab the PDF, and customize it for your class.

Print-Ready

Formatted for standard paper. Clean layout, easy to read.

AI-Generated

Created with Kuraplan's AI, designed for real classroom use.

For Teachers & Parents

Use in classrooms, for homework, tutoring, or homeschool.

Need a custom version of this worksheet?

Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.

Generate Custom Worksheets — Free
No credit card Curriculum-aligned Under 60 seconds

More Mathematics Worksheets

Real-World Ratios Worksheet
7th Grade

Real-World Ratios Worksheet

Free
Proportional and Linear Relationships
8th Grade

Proportional and Linear Relationships

Free
Constant of Proportionality
7th Grade

Constant of Proportionality

Free
Unit Rate Practice
7th Grade

Unit Rate Practice

Free
Linear Relationships Exploration
7th Grade

Linear Relationships Exploration

Free
Proportional Tables Rate Practice

Proportional Tables Rate Practice

Free
Proportional Relationships Practice
7th Grade

Proportional Relationships Practice

Free
Understanding Ratio Concepts

Understanding Ratio Concepts

Free

Explore more free resources