Fraction equivalence and simplification Practice Questions (Grade 4)

Fraction equivalence and simplification practice

Fraction equivalence and simplification is a grade 4 math skill aligned to Common Core standard 4.NF.A.1: explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b), and use this principle to recognize and generate equivalent fractions. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 217 fraction equivalence and simplification problems our math games drill.

CCSS 4.NF.A.1217 questions in the bank

Question 1easy

Find the equivalent fraction: $\dfrac{6}{7} = \dfrac{?}{14}$ .

Multiply top and bottom by 2: $\dfrac{6 \times 2}{7 \times 2} = \dfrac{12}{14}$ .

Question 2easy

Which fraction is equivalent to $\dfrac{2}{3}$ ?

Multiply both parts of $\dfrac{2}{3}$ by 4: $\dfrac{8}{12}$ .

Question 3easy

Fill in: $\dfrac{1}{5} = \dfrac{\square}{25}$ .

Multiply numerator and denominator by 5: $\dfrac{1 \times 5}{5 \times 5} = \dfrac{5}{25}$ .

Question 4easy

Simplify $\dfrac{20}{32}$ to lowest terms.

GCF of 20 and 32 is 4: $\dfrac{20 \div 4}{32 \div 4} = \dfrac{5}{8}$ .

Question 5easy

Find the equivalent fraction: $\dfrac{5}{7} = \dfrac{?}{28}$ .

Multiply top and bottom by 4: $\dfrac{5 \times 4}{7 \times 4} = \dfrac{20}{28}$ .

Question 6easy

Which fraction is equivalent to $\dfrac{2}{5}$ ?

Multiply both parts of $\dfrac{2}{5}$ by 2: $\dfrac{4}{10}$ .

Question 7easy

Fill in: $\dfrac{2}{4} = \dfrac{\square}{8}$ .

Multiply numerator and denominator by 2: $\dfrac{2 \times 2}{4 \times 2} = \dfrac{4}{8}$ .

Question 8easy

Simplify $\dfrac{4}{16}$ to lowest terms.

GCF of 4 and 16 is 4: $\dfrac{4 \div 4}{16 \div 4} = \dfrac{1}{4}$ .

Fraction equivalence and simplification practice

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