Skip to the main content
PeabodyMake a free story

🍕 4th grade math · Fractions & Decimals

Make equivalent fractions

Different fractions can name the same amount: 1/2 = 2/4 = 4/8. Multiply the top and the bottom by the same number and the amount stays put.

Worked example

Fill in the missing number.
Answer: 2
The bottom went from 4 to 8 — that’s × 2. Do the same to the top: 1 × 2 = 2. Every piece got split into 2, so the amount didn’t change.
14
28

For grown-ups: Equivalence by multiplying by n/n; generate equivalent fractions. 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 4.NF.A.1
What this practises, for teachers

Practices equivalence by multiplying by n/n; generate equivalent fractions (4.NF.A.1). A printable sheet with its answer key, worked answers on the page, no accounts.

▶ Practise it

For your class

🖨️ Printable sheet and key

On the board with this skill:

More printables, with answer keys, for this grade:

Try three

  1. Fill in the missing number.
    Show the answer and how
    Answer: 6
    The top went from 1 to 3 — that’s × 3. Do the same to the bottom: 2 × 3 = 6. Every piece got split into 3, so the amount didn’t change.
    12
    36
  2. Fill in the missing number.
    Show the answer and how
    Answer: 2
    The bottom went from 4 to 8 — that’s × 2. Do the same to the top: 1 × 2 = 2. Every piece got split into 2, so the amount didn’t change.
    14
    28
  3. Fill in the missing number.
    Show the answer and how
    Answer: 10
    The top went from 2 to 4 — that’s × 2. Do the same to the bottom: 5 × 2 = 10. Every piece got split into 2, so the amount didn’t change.
    25
    410

Before and after

Learn first: Compare simple fractions (3rd), Times tables to 10 (3rd), Factors, multiples and primes (4th)

Comes next: Compare any two fractions (4th), What is a percent? (6th)

Name: ____________________Date: ____________Score: ____ / 12

Make equivalent fractions (4th grade)

  1. Fill in the missing number.
  2. Fill in the missing number.
  3. Fill in the missing number.
  4. Fill in the missing number.
  5. Fill in the missing number.
  6. Fill in the missing number.
  7. Fill in the missing number.
  8. Fill in the missing number.
  9. Fill in the missing number.
  10. Fill in the missing number.
  11. Fill in the missing number.
  12. Fill in the missing number.

Answer key

  1. 12
  2. 10
  3. 4
  4. 20
  5. 6
  6. 2
  7. 4
  8. 3
  9. 16
  10. 12
  11. 20
  12. 12

More 4th grade skills: all 4th grade math skills, or every grade at math skills.