4th Grade Equivalent Fractions Worksheet (PDF)

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

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

Grade 4 equivalent fractions worksheet: exercises 1 to 10

Exercise 1 – Matching strips

Write the fraction shaded in each strip. Are the two fractions equal?

AB
Strip A and strip B.

Exercise 2 – Halves to sixths

Write a fraction equal to \(\frac{1}{2}\) that has denominator 6.

Exercise 3 – Thirds to twelfths

Find the missing number: \(\frac{2}{3} = \frac{?}{12}\).

Exercise 4 – Fourths to eighths

Find the missing number: \(\frac{3}{4} = \frac{?}{8}\).

Exercise 5 – Fifths to tenths

Find the missing number: \(\frac{1}{5} = \frac{?}{10}\).

Exercise 6 – Divide to match

Find the missing number: \(\frac{4}{6} = \frac{?}{3}\).

Exercise 7 – Find the denominator

Find the missing number: \(\frac{6}{8} = \frac{3}{?}\).

Exercise 8 – Number line match

The dot on the top number line is at \(\frac{3}{4}\). Write the fraction at the dot on the bottom number line.

01Fourths3/401Eighths?
Two number lines.

Exercise 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.

Exercise 10 – Tenths to hundredths

Write \(\frac{3}{10}\) as hundredths.

Exercises 11 and up

Exercise 11 – Is it equal?

Is \(\frac{5}{6}\) equal to \(\frac{10}{12}\)? Explain.

Exercise 12 – Not equal

Is \(\frac{3}{8}\) equal to \(\frac{6}{12}\)? Explain.

Exercise 13 – Pick the match

Which fraction is equivalent to \(\frac{9}{12}\): \(\frac{2}{3}\), \(\frac{3}{4}\), or \(\frac{4}{5}\)?

Exercise 14 – Smaller denominator

Write \(\frac{8}{12}\) as an equivalent fraction with denominator 3.

Exercise 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?

MayaJamal
Two identical pizzas shown as strips.

Exercise 16 – Field in twelfths

A groundskeeper mowed \(\frac{3}{4}\) of the Little League field. He marks the field in twelfths. Write \(\frac{3}{4}\) as twelfths.

Exercise 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.

Exercise 18 – Milk scoops

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

cupscoops
Two thirds of a cup compared with sixths.

Exercise 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.

Exercise 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.

See the solutions: Equivalent Fractions worksheet solutions

Key facts behind this grade 4 equivalent fractions worksheet

Key facts
  • Equivalent fractions name the same amount and sit at the same point on a number line.
  • 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.

How to use this grade 4 equivalent fractions worksheet

Work through the exercises in order: they go from simple to challenging. Write every step on paper, then compare with the solutions page and redo any exercise you missed the next day.

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

All Grade 4 chapters: Grade 4 math.

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4th Grade Equivalent Fractions Worksheet

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