4th Grade Equivalent Fractions Worksheets with Answers (Free PDF)

$4th grade equivalent fractions worksheet – Maths PDF$

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This 4th grade equivalent fractions worksheet covers equivalent fractions (Common Core 4.NF.A.1), with a free PDF to print.

Key takeaway: This worksheet helps fourth grade students practice writing equivalent fractions, finding missing numbers, and deciding whether two fractions are equal.

Topic: Equivalent Fractions (4th grade)
Content: 20 worksheet problems, from easy to challenging
Standards: 4.NF.A.1
Answers: On a separate page, so you can try every worksheet problem first
Format: Free printable PDF, US Letter, black and white

This worksheet helps fourth grade students practice writing equivalent fractions, finding missing numbers, and deciding whether two fractions are equal. Strips and number lines show the idea, and the numbers then follow the same pattern.

There are 20 problems. The first eight use strips, a number line, and missing numerators or denominators with halves, thirds, fourths, and fifths. Two problems rename fractions as hundredths, four check or choose equivalent fractions, and the last six are real situations with pizza, a field, dimes, milk scoops, a list, and a garden. Allow about 30 minutes.

This worksheet has 20 problems on equivalent fractions with denominators such as 2, 3, 4, 5, 6, 8, 10, 12 and 100. Problems use fraction strips, number lines and word problems (Common Core 4.NF.A.1).

Grade 4 · Common Core State Standards: 4.NF.A.1

4th grade equivalent fractions worksheet: worksheet problems 1 to 10

1 – Matching strips

First, write the fraction shaded in each strip. Are the two fractions equal?

Strip A and strip B.

2 – Halves to sixths

Next, write a fraction equal to $\frac{1}{2}$ that has denominator 6.

3 – Thirds to twelfths

Then, find the missing number: $\frac{2}{3} = \frac{?}{12}$.

4 – Fourths to eighths

Now, find the missing number: $\frac{3}{4} = \frac{?}{8}$.

5 – Fifths to tenths

Also, find the missing number: $\frac{1}{5} = \frac{?}{10}$.

6 – Divide to match

First, find the missing number: $\frac{4}{6} = \frac{?}{3}$.

7 – Find the denominator

Next, find the missing number: $\frac{6}{8} = \frac{3}{?}$.

8 – Number line match

Then, the dot on the top number line is at $\frac{3}{4}$. Write the fraction at the dot on the bottom number line.

Two number lines.

9 – Fourths to hundredths

Ryan has $\frac{3}{4}$ of a dollar in quarters. Write $\frac{3}{4}$ as an equivalent fraction with denominator 100.

10 – Tenths to hundredths

Also, write $\frac{3}{10}$ as hundredths.

Worksheet problems 11 and up

11 – Is it equal?

First, is $\frac{5}{6}$ equal to $\frac{10}{12}$? Explain.

12 – Not equal

Next, is $\frac{3}{8}$ equal to $\frac{6}{12}$? Explain.

13 – Pick the match

Then, which fraction is equivalent to $\frac{9}{12}$: $\frac{2}{3}$, $\frac{3}{4}$, or $\frac{4}{5}$?

14 – Smaller denominator

Now, write $\frac{8}{12}$ as an equivalent fraction with denominator 3.

15 – Pizza share

Maya ate $\frac{2}{4}$ of a pizza. Jamal ate $\frac{4}{8}$ of an identical pizza. Did they eat the same amount?

Two identical pizzas shown as strips.

16 – Field in twelfths

First, a groundskeeper mowed $\frac{3}{4}$ of the Little League field. He marks the field in twelfths. Write $\frac{3}{4}$ as twelfths.

17 – Dimes in a dollar

Sofia has 3 dimes. A dime is $\frac{1}{10}$ of a dollar. What fraction of a dollar is 3 dimes? Write it in tenths and in hundredths.

18 – Milk scoops

Then, a recipe needs $\frac{2}{3}$ cup of milk. Ethan only has a $\frac{1}{6}$-cup scoop. How many scoops does he need?

Two thirds of a cup compared with sixths.

19 – Diego's list

Diego says that $\frac{2}{3}$, $\frac{4}{6}$, $\frac{6}{9}$ and $\frac{8}{12}$ are all equivalent. Is he right? Explain with multiplication.

Worksheet problem 20 and after

20 – Garden plan

Aisha plants tomatoes in $\frac{3}{5}$ of her garden. The garden is divided into 10 equal sections and also into a 100-square grid. Write $\frac{3}{5}$ as tenths and as hundredths. How many of the 100 squares have tomatoes?

The 100-square grid.

Key facts behind this 4th grade equivalent fractions worksheet

Key facts

Equivalent fractions name the same amount and sit at the same point on a number line.
Next, multiply or divide the numerator and denominator by the same number to make an equivalent fraction.
Multiplying by 2/2, 3/3 or any n/n is multiplying by 1, so the value stays the same.
Tenths change to hundredths by multiplying by 10, so 3/10 = 30/100.
Adding the same number to the top and bottom does not make an equivalent fraction.

Common mistakes with this 4th grade equivalent fractions worksheet

Students multiply when the denominator gets smaller. Going from sixths to thirds means dividing both parts by the same number, not multiplying.
Students decide two fractions are equal because the top doubled. Check that the bottom changed by the same factor, or the fractions are not equal.
Students use the wrong fraction in a scoop problem. Rename the amount in the same unit as the scoop, then count the scoops.
Students check only the first pair in a list of fractions. Multiply or divide each fraction and compare with the first to confirm all are equal.

Tips before you start the worksheet problems

For each missing number problem, find the multiplier first by comparing the two denominators. Then apply that number to the numerator.
When a problem asks for an explanation, write the multiplier you used, such as multiplied top and bottom by 3. This shows the key idea.
Teachers can use a list problem to start a discussion on how many names a single amount can have.

Download the 4th grade equivalent fractions worksheet as a PDF with the button below and keep it with your notes.

4th grade equivalent fractions worksheet: frequently asked questions

How do you find a missing number in equivalent fractions?

Compare the denominators to find what they were multiplied or divided by, and do the same to the numerator. For 2 fifths equals blank over twenty, 5 times 4 is 20, so multiply 2 by 4. The missing number is 8.

How do you write a fraction with a denominator of 100?

Find what multiplies the denominator to make 100, then multiply the numerator by the same number. For 2 fifths, 5 times 20 is 100, so multiply 2 by 20. Then 2 fifths equals 40 hundredths.

How can you tell if two fractions are equal without drawing?

Check whether one denominator is a multiple of the other, then see if the numerator changed by the same factor. Two thirds and four sixths are equal because both parts doubled. If the factors differ, the fractions are not equal.

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