Equivalent fractions

Name: _____________________ Date: __________

Show your thinking with numbers, words, or a drawing.

1. 1/2 = ?/6. What is the missing numerator (as a fraction over 6)?

1. 3/6

The denominator goes from 2 to 6, which is × 3.

Multiply the numerator by the same 3: 1 × 3 = 3.

So 1/2 = 3/6.

2. 2/4

The denominator goes from 2 to 4, which is × 2.

Multiply the numerator by the same 2: 1 × 2 = 2.

So 1/2 = 2/4.

3. 6/9

The denominator goes from 3 to 9, which is × 3.

Multiply the numerator by the same 3: 2 × 3 = 6.

So 2/3 = 6/9.

4. 3/9

The denominator goes from 3 to 9, which is × 3.

Multiply the numerator by the same 3: 1 × 3 = 3.

So 1/3 = 3/9.

5. 2/6

The denominator goes from 3 to 6, which is × 2.

Multiply the numerator by the same 2: 1 × 2 = 2.

So 1/3 = 2/6.

Fold two equal strips of paper into different numbers of equal parts. Find two fractions that cover the same length.