Equivalent fractions worksheet

Two fractions are equivalent when they name the same amount. Multiplying or dividing the top and bottom by the same number makes an equivalent fraction, and two fractions are equivalent exactly when their cross products match.

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Sigma Prep · sigmaprep.io/worksheets Name Equivalent Fractions Date Period Answer each question. $\frac{1}{11} = \frac{7}{□}$ Write $\frac{4}{5}$ with a denominator of $25$ Are $\frac{1}{3}$ and $\frac{3}{9}$ equivalent? $\frac{1}{11} = \frac{6}{□}$ Write $\frac{1}{4}$ with a denominator of $8$ Are $\frac{1}{4}$ and $\frac{6}{9}$ equivalent? $\frac{7}{10} = \frac{42}{□}$ Write $\frac{1}{6}$ with a denominator of $24$ Are $\frac{1}{4}$ and $\frac{6}{20}$ equivalent? $\frac{1}{10} = \frac{7}{□}$ Write $\frac{3}{4}$ with a denominator of $28$ Are $\frac{3}{4}$ and $\frac{9}{10}$ equivalent? $\frac{10}{11} = \frac{□}{77}$ Write $\frac{5}{6}$ with a denominator of $12$ Are $\frac{1}{3}$ and $\frac{2}{6}$ equivalent? $\frac{6}{11} = \frac{30}{□}$ Write $\frac{1}{3}$ with a numerator of $8$ Are $\frac{2}{3}$ and $\frac{8}{12}$ equivalent? $\frac{3}{10} = \frac{21}{□}$ Write $\frac{2}{3}$ with a numerator of $10$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Equivalent Fractions

Date Period

Answer each question.

$\frac{1}{11} = \frac{7}{□}$
Write $\frac{4}{5}$ with a denominator of $25$
Are $\frac{1}{3}$ and $\frac{3}{9}$ equivalent?
$\frac{1}{11} = \frac{6}{□}$
Write $\frac{1}{4}$ with a denominator of $8$
Are $\frac{1}{4}$ and $\frac{6}{9}$ equivalent?
$\frac{7}{10} = \frac{42}{□}$
Write $\frac{1}{6}$ with a denominator of $24$
Are $\frac{1}{4}$ and $\frac{6}{20}$ equivalent?
$\frac{1}{10} = \frac{7}{□}$
Write $\frac{3}{4}$ with a denominator of $28$
Are $\frac{3}{4}$ and $\frac{9}{10}$ equivalent?
$\frac{10}{11} = \frac{□}{77}$
Write $\frac{5}{6}$ with a denominator of $12$
Are $\frac{1}{3}$ and $\frac{2}{6}$ equivalent?
$\frac{6}{11} = \frac{30}{□}$
Write $\frac{1}{3}$ with a numerator of $8$
Are $\frac{2}{3}$ and $\frac{8}{12}$ equivalent?
$\frac{3}{10} = \frac{21}{□}$
Write $\frac{2}{3}$ with a numerator of $10$



Sigma Prep · sigmaprep.io/worksheets Name Equivalent FractionsAnswer keyVersion 1 Date Period Answer each question. $\frac{1}{11} = \frac{7}{□}$ $77$ Write $\frac{4}{5}$ with a denominator of $25$ $\frac{20}{25}$ Are $\frac{1}{3}$ and $\frac{3}{9}$ equivalent?Yes $\frac{1}{11} = \frac{6}{□}$ $66$ Write $\frac{1}{4}$ with a denominator of $8$ $\frac{2}{8}$ Are $\frac{1}{4}$ and $\frac{6}{9}$ equivalent?No $\frac{7}{10} = \frac{42}{□}$ $60$ Write $\frac{1}{6}$ with a denominator of $24$ $\frac{4}{24}$ Are $\frac{1}{4}$ and $\frac{6}{20}$ equivalent?No $\frac{1}{10} = \frac{7}{□}$ $70$ Write $\frac{3}{4}$ with a denominator of $28$ $\frac{21}{28}$ Are $\frac{3}{4}$ and $\frac{9}{10}$ equivalent?No $\frac{10}{11} = \frac{□}{77}$ $70$ Write $\frac{5}{6}$ with a denominator of $12$ $\frac{10}{12}$ Are $\frac{1}{3}$ and $\frac{2}{6}$ equivalent?Yes $\frac{6}{11} = \frac{30}{□}$ $55$ Write $\frac{1}{3}$ with a numerator of $8$ $\frac{8}{24}$ Are $\frac{2}{3}$ and $\frac{8}{12}$ equivalent?Yes $\frac{3}{10} = \frac{21}{□}$ $70$ Write $\frac{2}{3}$ with a numerator of $10$ $\frac{10}{15}$ Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Equivalent FractionsAnswer keyVersion 1

Date Period

Answer each question.

$\frac{1}{11} = \frac{7}{□}$ $77$
Write $\frac{4}{5}$ with a denominator of $25$ $\frac{20}{25}$
Are $\frac{1}{3}$ and $\frac{3}{9}$ equivalent?Yes
$\frac{1}{11} = \frac{6}{□}$ $66$
Write $\frac{1}{4}$ with a denominator of $8$ $\frac{2}{8}$
Are $\frac{1}{4}$ and $\frac{6}{9}$ equivalent?No
$\frac{7}{10} = \frac{42}{□}$ $60$
Write $\frac{1}{6}$ with a denominator of $24$ $\frac{4}{24}$
Are $\frac{1}{4}$ and $\frac{6}{20}$ equivalent?No
$\frac{1}{10} = \frac{7}{□}$ $70$
Write $\frac{3}{4}$ with a denominator of $28$ $\frac{21}{28}$
Are $\frac{3}{4}$ and $\frac{9}{10}$ equivalent?No
$\frac{10}{11} = \frac{□}{77}$ $70$
Write $\frac{5}{6}$ with a denominator of $12$ $\frac{10}{12}$
Are $\frac{1}{3}$ and $\frac{2}{6}$ equivalent?Yes
$\frac{6}{11} = \frac{30}{□}$ $55$
Write $\frac{1}{3}$ with a numerator of $8$ $\frac{8}{24}$
Are $\frac{2}{3}$ and $\frac{8}{12}$ equivalent?Yes
$\frac{3}{10} = \frac{21}{□}$ $70$
Write $\frac{2}{3}$ with a numerator of $10$ $\frac{10}{15}$

How to do these

$\frac{3}{4} = \frac{?}{20}$

4 times 5 is 20.
Multiply the top by the same 5.
3 times 5 is 15.

The answer is $15$ .

Where students go wrong

Adding the same number to the top and bottom. 3/4 and 4/5 are not equivalent; only multiplying or dividing keeps the value.

Also called equivalent fractions, missing numerator, missing denominator or are the fractions equivalent.

What you can put on this worksheet

The missing number in an equivalent pair: $\frac{1}{7} = \frac{□}{21}$ → $3$
Rewrite with a given denominator or numerator: Write $\frac{1}{4}$ with a denominator of $12$ → $\frac{3}{12}$
Are they equivalent?: Are $\frac{1}{5}$ and $\frac{5}{20}$ equivalent? → No

Questions about these worksheets

Yes. Every equivalent fractions sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Pre-Algebra is usually taken around 7th or 8th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the equivalent fractions questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

You pick from 3: the missing number in an equivalent pair, rewrite with a given denominator or numerator and are they equivalent?. Tick as many as you want and set how many of each, or let it spread them evenly.

Adding the same number to the top and bottom. 3/4 and 4/5 are not equivalent; only multiplying or dividing keeps the value.

Equivalent fractions worksheet

Select your difficulty

Equivalent Fractions

Equivalent FractionsAnswer keyVersion 1

How to do these

Where students go wrong

What you can put on this worksheet

Questions about these worksheets

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