Virginia SOL Math / Grade 4 / Computation & Estimation

4.CE.3

Add & Subtract Fractions

What you'll learn

  • Add and subtract fractions with like denominators of 12 or less
  • Add and subtract mixed numbers with like denominators
  • Multiply a whole number by a unit fraction

Words to know

Like denominators —
denominators that are the same
Unit fraction —
a fraction with 1 on top, like 1/6
Mixed number —
a whole number and a fraction, like 3 1/4
Sum —
the answer to an addition problem
Difference —
the answer to a subtraction problem

Why it matters Adding and subtracting fractions helps us combine or take away parts, such as measuring ingredients or tracking distance.

Worked examples

Model ItI do

Find 3/8 + 2/8.

The denominators are the same, so add only the numerators: 3 + 2 = 5. Keep the denominator 8. So 3/8 + 2/8 = 5/8.

Try It TogetherWe do

Find 4 x 1/5.

Multiplying a whole number by a unit fraction means adding it that many times: 1/5 + 1/5 + 1/5 + 1/5 = 4/5. So 4 x 1/5 = 4/5.

Now YouYou do

Find 5/6 - 2/6.

Subtract the numerators and keep the same denominator. Check your answer in the back.

Practice

Mastered 0 of 11

Warm-up

Ease in with the basics.

  1. 1.Find 1/5 + 2/5.

  2. 2.Find 4/6 - 1/6.

  3. 3.Find 2 x 1/3.

On Level

The core Quick Check from the book.

  1. 1.Find 2/7 + 3/7.

  2. 2.Find 7/10 - 4/10.

  3. 3.Find 3 x 1/4.

  4. 4.Find 1 2/5 + 1/5.

  5. 5.Find 5/6 + 5/6.

Challenge

Stretch your thinking.

  1. 1.Find 5/8 + 7/8.

  2. 2.Find 3 1/6 - 1 4/6.

  3. 3.Find 5 x 1/4 and write the answer as a mixed number.