The Scaffolding Lab

All skills. Every level.

GRADE 4 · MATH · 4.NF.A.1

Equivalent fractions

Explain why multiplying both the numerator and denominator by the same positive whole number preserves the value of a fraction.

This practice supports part of 4.NF.A.1; it is not a complete assessment of the standard.

Make a free worksheet

See the generated worksheet

Actual output from this skill’s generator. The answer key comes from the same saved example.

Generated Equivalent fractions student worksheet with four problems
Student page · Open to enlarge
Matching Equivalent fractions answer key
Matching answer key · Open to enlarge

Try a short sample

Work out each answer and explain your method. These original examples illustrate the skill; the generator creates fresh practice.

  1. 1/2 = ?/4
  2. 2/3 = ?/9
  3. 3/4 = ?/8
Teacher answer key
  1. 2
  2. 6
  3. 6

Same goal, different support

With support

Fold matching paper strips into halves and fourths. Label the same amount with both fractions.

Independent practice

Solve the sample, show your method, and check your answer using a second representation or operation.

Extend the reasoning

Create a new example for the same skill. Write a plausible incorrect answer and explain how a model or calculation disproves it.

A misconception to discuss

Changing only the numerator changes the value. Keep the whole the same and repartition every equal part.

Connect the learning

Before this: Read a fraction model

Next connection: Add fractions with like denominators