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3 express your answer in its simplest form where possible. (a) $4 \\div…

Question

3 express your answer in its simplest form where possible. (a) $4 \div \frac{2}{9} =$ (b) $5 \div \frac{5}{7} =$

Explanation:

Step1: Rewrite division as multiplication

$4\div\frac{2}{9} = 4\times\frac{9}{2}$

Step2: Simplify and calculate

$4\times\frac{9}{2} = 2\times9 = 18$

Step3: Rewrite division as multiplication

$5\div\frac{5}{7} = 5\times\frac{7}{5}$

Step4: Simplify and calculate

$5\times\frac{7}{5} = 1\times7 = 7$

Answer:

(a) $18$
(b) $7$