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Equivalent fractions

Fill in missing numerators to make equivalent fractions.

Practice + answer key · 2 pages

Worksheet settings8 questions · 2 columns · A4
Starting denominators

These bounds apply to the first fraction denominator. Every generated equivalent fraction scales by ×2 or ×3.

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mathsprig-1
Content ID
df516469
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1 page
Equivalent fractionsEquivalent fractions. Practice. 1/3 = □/6 2/3 = □/6 1/6 = □/12 4/5 = □/10 1/2 = □/4 3/4 = □/8 1/4 = □/12 2/5 = □/10Name __________________________Date _______________Equivalent fractionsFill in the missing numbers to make equivalent fractions.Different fractions. The same amount.13 = 261.13 = 62.23 = 63.16 = 124.45 = 105.12 = 46.34 = 87.14 = 128.25 = 10MathSprig · mathsprig.site · support@mathsprig.sitePage 1 of 1mathsprig-1 · mathsprig-v1 · df516469
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Practice + answer key · 2 pages

Fractions

What you’ll practice

Find a missing numerator when a denominator has been multiplied by 2 or 3.

Two fractions can name the same amount using different-sized parts. Find how the denominator changes, then multiply the numerator by the same factor.

How this skill works

Multiplying the numerator and denominator by the same nonzero factor preserves the fraction value. It changes how many equal parts name the whole, not the represented amount.

Find the denominator scale factor first. Apply that exact factor to the numerator rather than adding the same amount to top and bottom.

Worked example

Fill the box: 1/3 = □/6.
  1. The denominator changes from 3 to 6, which is ×2.
  2. Multiply the numerator by the same factor: 1 × 2 = 2.
  3. Therefore 1/3 = 2/6.

Answer: 2

Teaching notes

  • Write the multiplier beside both numerator and denominator.
  • Equivalent does not always mean simplest form; 2/6 is correct when the displayed denominator is 6.
Practice questions
  1. 1/3 = □/6
  2. 2/3 = □/6
  3. 1/6 = □/12
  4. 4/5 = □/10
  5. 1/2 = □/4
  6. 3/4 = □/8
  7. 1/4 = □/12
  8. 2/5 = □/10
Answers and steps
  1. 2
    1. 3 × 2 = 6
    2. 1 × 2 = 2
    3. 1/3 = 2/6
  2. 4
    1. 3 × 2 = 6
    2. 2 × 2 = 4
    3. 2/3 = 4/6
  3. 2
    1. 6 × 2 = 12
    2. 1 × 2 = 2
    3. 1/6 = 2/12
  4. 8
    1. 5 × 2 = 10
    2. 4 × 2 = 8
    3. 4/5 = 8/10
  5. 2
    1. 2 × 2 = 4
    2. 1 × 2 = 2
    3. 1/2 = 2/4
  6. 6
    1. 4 × 2 = 8
    2. 3 × 2 = 6
    3. 3/4 = 6/8
  7. 3
    1. 4 × 3 = 12
    2. 1 × 3 = 3
    3. 1/4 = 3/12
  8. 4
    1. 5 × 2 = 10
    2. 2 × 2 = 4
    3. 2/5 = 4/10