All About 7th Grade Fractions and Decimals

Although fractions and decimals are initially introduced in elementary school, students continue to work with these types of numbers in middle school, high school and beyond. Keep reading to discover what your 7th grader will learn about fractions and decimals this year.

Find available tutors

What Do 7th Graders Learn about Fractions and Decimals?

Ratios and Proportions

A ratio demonstrates a relationship between two amounts. It can be written using a colon (1:3) or a fraction (1/3). In 7th grade, students learn to use ratios to calculate rate. For instance, if a car has traveled 500 miles in 20 hours, the car's rate of speed can be calculated by creating a ratio and simplifying it, like this: 500/20 = 25/1 = 25 miles per hour.

Proportional relationships compare two equivalent ratios. Often, 7th graders have to solve a proportion, like 4/5 = x/30, for an unknown variable. To solve proportions, students learn to cross-multiply and then isolate the variable. For this problem, cross-multiplication gives the following result: 5x = 120. Then, your student can divide both sides by five to get x = 24.

Your 7th grader will likely have to solve real-world word problems using proportions. Here's an example:

Max bought five cupcakes for $32. How much money would he have spent if he bought 15 cupcakes?

To solve this problem, your 7th grader should identify the variable. In this case, the variable is how much 15 cupcakes would cost. Then, your student can create a proportional relationship by writing the two ratios and adding an equals sign (5/32 = 15/x). The next step is to cross-multiply and isolate the variable as shown in the previous example. The answer is x = $96.

Rational Numbers

In 7th grade, students study the relationship between fractions, decimals and percents, which are all representations of rational numbers. Rational numbers include whole numbers, decimals, fractions and even negative numbers. You can determine whether or not a number is rational by writing it as a fraction. If both the numerator and the denominator are integers, and the denominator doesn't equal zero, then the number is rational.

Your 7th grader may convert decimals with a hundredths place to fractions by putting them over 100, like this: 0.24 = 24/100. Decimals with just a tenths place can be written over ten (0.4 = 4/10). These fractions can then be simplified to 6/25 and 2/5, respectively.

Your student can also convert decimals to percentages by multiplying them by 100 (0.24 x 100 = 24%). Fractions can be converted to decimals by simply dividing the numerator by the denominator. For example, 6/25 = 6 ÷ 25 = 0.24.

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

Other Articles You May Be Interested In

  • More Blog Articles
    Tips to Help Kids Understand Fractions

    Fractions can be a confusing topic for some students. Read on to learn how you can help your children better understand the uses of fractions.

  • More Blog Articles
    5 Free and Fun Math Games for Kids

    Looking for a way to get your child engaged with math? There are many free, fun math games online that explore basic concepts such as addition, subtraction, multiplication and division, as well as more advanced games that offer practice with decimals and fractions. Read on to discover five of our favorite educational - and fun! -...

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


  • 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


  • 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


  • 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

Our Commitment to You

  • Free Help from Teachers

  • Free Learning Materials

  • Helping Disadvantaged Youth