MathPractice
Fractions · Grade 4

Make equivalent fractions

Rename fractions by splitting or grouping equal parts. Change the numerator and denominator together to keep the value.

Grade 48 questions per setNo account needed
Practice 8 questions Download worksheet

US Letter PDF · A4 version · Answer key

What we’re working onGenerate equivalent fractions and recognize a simpler equivalent form.

First page of the Make equivalent fractions worksheet, with visible questions and room to work.Open worksheet PDF · 8 questions · US Letter
See how it works

Worked examples

Example 1

Rename in twelfths

Complete 2/3 = ?/12.

  1. Each third splits into four equal parts, because 3 × 4 = 12.
  2. Each of the two selected thirds also splits into four.
  3. There are 2 × 4 = 8 selected twelfths.

2/3 = 8/12

Example 2

Group smaller parts

Write 6/8 in simplest form.

  1. Group the eighths in pairs. Each pair is one fourth.
  2. Six selected eighths make three pairs; all eight eighths make four pairs.
  3. Divide the numerator and denominator by 2.

6/8 = 3/4

A question from this worksheet

Fill in the missing numerator: 3/2 = ?/4.

See the explanation

6

3/2 = (3 × 2)/(2 × 2) = 6/4. The whole and the shaded amount stay the same.

Choose how to practice

Pick the support you need.

Each set has eight questions. The online practice and prepared worksheet use the same questions.

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For the grown-up beside them

Help the thinking along.

A useful question

How many new pieces does each old piece become? Did both numbers change by the same factor?

What to look for

The learner links multiplication or division of both numbers to the unchanged amount in the model.

A common sticking point

Adding the same number to the numerator and denominator instead of scaling both by the same factor.

Help without giving the answer

Keep the original shaded amount visible. Split every part equally and ask the learner to count the new parts.

Keep the words clear

Words in this skill.

equivalent fractions
Fractions with the same value.
factor
A number multiplied by another number to make a product.
common factor
A number that divides two whole numbers exactly.
simplest form
A fraction whose numerator and denominator have no common factor greater than 1.
hundredth
One of 100 equal parts of one whole, written 1/100.

What these sets cover.

  • Practice uses denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.
  • Start with factors of 2; then connect ten tenths and one hundred hundredths to the same whole.
  • Values may be greater than 1; preserve complete wholes when regrouping parts.

Common questions

Does every answer have to be in simplest form?

No. If the task only asks for the value, an equivalent fraction is correct. Use simplest form when the instructions specifically ask for it.

Why does multiplying both numbers keep the value?

Each selected part and every part in the whole are split in the same way. There are more parts, but each one is proportionally smaller.

How do tenths and hundredths name the same amount?

One tenth contains ten hundredths, so 3/10 = 30/100. In the other direction, 40/100 = 4/10 = 2/5. Grouping the parts changes their names, not the amount or the whole.

Try next

Compare unlike fractions

Next, use equivalent fractions or benchmarks to compare different denominators.

Explore this skill

Related standards: 4.NF.1. These materials focus on this skill, not every part of a grade-level curriculum. How we check materials.