Equivalent fractions with models

This Grade 3 worksheet practices equivalent fractions with models (Common Core 3.NF.A.3, 3.NF.A.3a).

4 equivalent fractions with models problems with an answer key. Free printable PDF.

On this sheet

• Do the two bars below have the same amount shaded, and why? — answer: No. The pieces are different sizes, but the same number are shaded.
• Do the two bars below have the same amount shaded, and why? — answer: Yes. One bar has smaller pieces, but more are shaded.
• Do the two bars below have the same amount shaded, and why? — answer: No. The pieces are different sizes, but the same number are shaded.

How to teach it

1. Equivalent fractions: multiply or divide the numerator and the denominator by the same number.
2. Comparing: with the same denominator, compare numerators; otherwise rewrite both over a common denominator.
3. Adding and subtracting: the denominators must match first. Add or subtract the numerators and keep the denominator.
4. Mixed numbers: add the wholes and the fractions, then regroup if the fraction part is one or more.

Questions teachers ask

How many problems are on this worksheet?

4 on one page, with the answer key on the last page.

What grade and standard is it for?

Grade 3. Common Core: 3.NF.A.3, 3.NF.A.3a.

Can I print more than one version?

Yes. Every version has different numbers and its own answer key. Use “Make another version” for a new one; the same version always prints the same.

When do students learn fractions?

In the Common Core, fractions as numbers and on a number line start in Grade 3 (3.NF), adding and subtracting like denominators is Grade 4 (4.NF.B.3), and unlike denominators is Grade 5 (5.NF.A.1).

Do the answers have to be in lowest terms?

Each question says when it does. The answer key gives answers in lowest terms, and mixed numbers where the question asks for them.