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DIFFERENT NUMBERS, SAME VALUE

Equivalent fractions worksheets.

Show that a fraction can change its numbers without changing its value. Fill one missing numerator or denominator in each pair.

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NUMBERLEAF / PRACTICE SHEET

Equivalent fractions practice

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Name: ________________________Date: ______________

Fill in the missing number to make equivalent fractions.

NL1-equivalent-fractions-leaf-01-e89c4369 · v1numberleaf · Keep practising.
NL1-equivalent-fractions-leaf-01-e89c4369 · 12 questions

The link keeps settings in its fragment. The JSON download includes answers; it is not a PDF.

A LITTLE GUIDANCE

Practise equivalent fractions with purpose

Start with equal parts of the same whole and the meaning of numerator and denominator. Compare fraction strips or draw equal-sized rectangles before symbolic practice.

A sensible next step

  1. The range selects the denominator of the starting proper fraction. The numerator is at least 1 and smaller than that denominator.
  2. Both parts are multiplied by the same whole-number factor, from 2 to your chosen maximum. One part of the new fraction is hidden.
  3. Use the visible part to identify the factor, then apply it to the missing part. Check both fractions represent the same share.
WORKED EXAMPLE

Example: 3/4 = ?/12

The denominator has been multiplied by 3, because 4 × 3 = 12. Multiply the numerator by 3 as well: 3 × 3 = 9. The missing numerator is 9, and 3/4 = 9/12.

Watch for this

Adding the same number to the numerator and denominator usually changes the value. Equivalent fractions come from multiplying or dividing both by the same nonzero factor.

Try a five-minute lesson

Use base denominators 2 to 6 and scale factors up to 3. Fold or draw two equal-sized rectangles to show 1/2 and 2/4. The whole must stay the same size: more pieces means smaller pieces, not a larger amount. Connect the drawing to multiplying both fraction parts by 2.

Respond to the method

For 2/5 = ?/15, identify the denominator multiplier first: 5 × 3 = 15. The missing numerator is 2 × 3 = 6. If the learner adds 10 to the numerator, compare 12/15 with the original fraction using a drawing or cross products. Alternate missing numerators and denominators; the generator includes both, without guaranteeing equal counts.

How these settings work

The starting fraction need not be in simplest form. The printed denominator after scaling may exceed the selected base-denominator range. All starting fractions are positive and less than one.

Generated answers are checked separately against mathematical relationships before the sheet is displayed. Select settings using your knowledge of the learner; these resources are not curriculum-certified.

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