Back to Exercise: Explain why a fraction a/b is equivalent to a fraction (n x a)/(n x b)

Exercises: Explaining Fraction Equivalence

Work through each section in order. When a problem asks you to explain your thinking,
write your answer in complete sentences.

Grade 4·20 problems·~30 min·Common Core Math - Grade 4·standard·4-nf-a-1

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Recall / Warm-Up

A number line from 0 to 1 is divided into 4 equal parts. What fraction names the point at the 3rd mark from 0?

$\frac{3}{4}$

$\frac{4}{3}$

$\frac{1}{4}$

$\frac{3}{1}$

A rectangle is divided into 8 equal parts, and 5 parts are shaded. What fraction of the rectangle is shaded?

Which fraction is equivalent to $\frac{1}{2}$ , based on what you learned in Grade 3?

$\frac{2}{4}$

$\frac{1}{4}$

$\frac{2}{3}$

$\frac{3}{4}$

Fluency Practice

Multiply the numerator and denominator of $\frac{2}{5}$ by 3. What fraction do you get?

What is $\frac{3}{4}$ written as an equivalent fraction with denominator 12?

To rewrite $\frac{5}{6}$ as an equivalent fraction with denominator 18, multiply the numerator and denominator by ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ . The equivalent fraction is ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ /18.

Using n = 5, what fraction is equivalent to $\frac{4}{7}$ ?

Which fraction is equivalent to $\frac{5}{9}$ , found by multiplying with n = 4?

$\frac{20}{36}$

$\frac{20}{9}$

$\frac{5}{36}$

$\frac{9}{13}$

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