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αAπΣ∞∂θ√x²≠∫÷≤%+−½αβΔλφ³≈∑°
  1. Home/
  2. Mathematics/
  3. Grade 7/
  4. Unit 1/
  5. Operations with Rational Numbers
Grade 7 · Unit 1Topic 3 of 3~24 min

Operations with Rational Numbers

Apply the sign rules to fractions and decimals, not just whole numbers.

All topics in this unit
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 1 · Learn

Walkthrough

Read this first — it covers the idea in plain language with a worked example.

The rules don't change

Negative fractions and decimals follow the same sign rules as integers. First handle the sign, then do the arithmetic you already know.

Adding & subtracting fractions

  1. 1Rewrite subtraction as adding the opposite if it helps.
  2. 2Find a common denominator.
  3. 3Add or subtract the numerators and apply the sign rule.
Worked example

Compute -3/4 + 1/2.

  1. →Common denominator is 4: 1/2 = 2/4.
  2. →-3/4 + 2/4 = -1/4.

Watch out

A negative fraction can be written three equal ways: -3/4 = (-3)/4 = 3/(-4). Don't let the placement of the sign confuse you.

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 2 · Watch

Video walkthrough

A short video that walks through this topic.

Math Antics

Adding & Subtracting Fractions

Find common denominators, then combine — the same process works with negatives.

Watch on YouTube
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 3 · Practice

Practice

Try a worksheet or work through some problems before the quiz.

Khan Academy

Rational number operations

Open resource
Math Worksheets 4 Kids

Fraction operations worksheets

Open resource
πΣ√≠≤+αβΔπΣx²θ÷+
Step 4 · Check

Quick check

A couple of questions to make sure this topic stuck. Retake as many times as you want.

Operations with Rational Numbers

Question 1 of 2

Easy

What is -1/3 + 1/3?

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
←Previous · Topic 2 of 3Multiplying & Dividing Integers→Finished the unit?Back to Unit 1