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🍕 5th grade math · Fractions & Decimals

Multiply fractions

Multiply the tops and multiply the bottoms. The overlap in the area picture is the answer.

Worked example

3/5 × 2/5 = ? (The picture shows 3/5 across and 2/5 down. Where they overlap is the answer.) (Any fraction with the right value counts.)
Answer: 6/25
Multiply the tops and multiply the bottoms: 3 × 2 = 6 and 5 × 5 = 25. 6/25. In the picture, 6 of the 25 small boxes are in the overlap. Answer: 6/25.

For grown-ups: Multiply fraction × fraction; area with fractional sides. Below: three problems to try with the worked answers, and a free printable sheet. Children can practise the same skill as a game, with no sign-up and no ads.

  • CCSS 5.NF.B.4
What this practises, for teachers

Practices multiply fraction × fraction; area with fractional sides (5.NF.B.4). A printable sheet with its answer key, worked answers on the page, no accounts.

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For your class

🖨️ Printable sheet and key

On the board with this skill:

More printables, with answer keys, for this grade:

Try three

  1. 3/4 × 2/3 = ? (The picture shows 3/4 across and 2/3 down. Where they overlap is the answer.) (Any fraction with the right value counts.)
    Show the answer and how
    Answer: 1/2
    Multiply the tops and multiply the bottoms: 3 × 2 = 6 and 4 × 3 = 12. 6/12 = 1/2. In the picture, 6 of the 12 small boxes are in the overlap. Answer: 1/2.
  2. 2/3 × 3/8 = ? (The picture shows 2/3 across and 3/8 down. Where they overlap is the answer.) (Any fraction with the right value counts.)
    Show the answer and how
    Answer: 1/4
    Multiply the tops and multiply the bottoms: 2 × 3 = 6 and 3 × 8 = 24. 6/24 = 1/4. In the picture, 6 of the 24 small boxes are in the overlap. Answer: 1/4.
  3. 1/2 of 1/2 = ? (The picture shows 1/2 across and 1/2 down. Where they overlap is the answer.) (Any fraction with the right value counts.)
    Show the answer and how
    Answer: 1/4
    Multiply the tops and multiply the bottoms: 1 × 1 = 1 and 2 × 2 = 4. 1/4. In the picture, 1 of the 4 small boxes are in the overlap. Answer: 1/4.

Before and after

Learn first: A fraction is a division (5th)

Comes next: Times makes it smaller? (5th)

Name: ____________________Date: ____________Score: ____ / 12

Multiply fractions (5th grade)

  1. 1/2 × 1/3 = ? (The picture shows 1/2 across and 1/3 down. Where they overlap is the answer.) (Any fraction with the right value counts.)
  2. 1/3 × 3/4 = ? (The picture shows 1/3 across and 3/4 down. Where they overlap is the answer.) (Any fraction with the right value counts.)
  3. 3/4 × 1/2 = ? (The picture shows 3/4 across and 1/2 down. Where they overlap is the answer.) (Any fraction with the right value counts.)
  4. 1/2 × 3/4 = ? (The picture shows 1/2 across and 3/4 down. Where they overlap is the answer.) (Any fraction with the right value counts.)
  5. 3/4 × 4/5 = ? (The picture shows 3/4 across and 4/5 down. Where they overlap is the answer.) (Any fraction with the right value counts.)
  6. 3/4 × 1/4 = ? (The picture shows 3/4 across and 1/4 down. Where they overlap is the answer.) (Any fraction with the right value counts.)
  7. 2/8 × 1/4 = ? (The picture shows 2/8 across and 1/4 down. Where they overlap is the answer.) (Any fraction with the right value counts.)
  8. 4/8 × 2/3 = ? (The picture shows 4/8 across and 2/3 down. Where they overlap is the answer.) (Any fraction with the right value counts.)
  9. 1/3 × 2/6 = ? (The picture shows 1/3 across and 2/6 down. Where they overlap is the answer.) (Any fraction with the right value counts.)
  10. 7 × 6/8 = ? (A fraction or a mixed number.)
  11. 3/4 × 2/3 = ? (The picture shows 3/4 across and 2/3 down. Where they overlap is the answer.) (Any fraction with the right value counts.)
  12. 4/7 of 4/7 = ? (The picture shows 4/7 across and 4/7 down. Where they overlap is the answer.) (Any fraction with the right value counts.)

Answer key

  1. 1/6
  2. 1/4
  3. 3/8
  4. 3/8
  5. 3/5
  6. 3/16
  7. 1/16
  8. 1/3
  9. 1/9
  10. 5 1/4
  11. 1/2
  12. 16/49

More 5th grade skills: all 5th grade math skills, or every grade at math skills.