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When a certain fraction is divided by $\frac{4}{9}$ , the quotient is $\frac{3}{2}$ .
What is that fraction? Give the answer in simplest form.

Class 7Division of FractionsFractions and Decimals

A $\frac{2}{3}$
B $\frac{27}{8}$
C $\frac{8}{27}$
D $\frac{3}{2}$

Step-by-Step Solution

Fraction = quotient × divisor =

\frac{3}{2} \times \frac{4}{9} = \frac{12}{18} = \frac{2}{3}

. Check:

\frac{2}{3} \div \frac{4}{9} = \frac{2}{3} \times \frac{9}{4} = \frac{18}{12} = \frac{3}{2}

.

Answer: A)

\frac{2}{3}

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