Question

By what number should
$6 \frac{2}{9}$
be divided to obtain
$4 \frac{2}{3}$
​

Answer 1

Answer:

$let \: us \: divide \: 6 \frac{2}{9} \: by \: x \: to \: obtain \: 4 \frac{2}{3} \\ hence \\ 6 \frac{2}{9} \div x = 4 \frac{2}{3} \: \\ \implies \: \frac{6 \times 9 + 2}{9} \div x = \frac{4 \times 3 + 2}{3} \\ \frac{56}{9} \times \frac{1}{x} = \frac{14}{3} \\ \implies \: \frac{1}{x} = \frac{14}{3} \times \frac{9}{56} \\ \implies \: \frac{1}{x} = \frac{1}{1} \times \frac{3}{4} \\ \implies \: \frac{1}{x} = \frac{3}{4} \\ \implies \: x \: = \frac{4}{3} \\ \\ so \: \: 6 \frac{2}{9} \: should \: be \: divided \: \: by \:\frac{4}{3} \\ \: to \: obtain \: 4 \frac{2}{3} .$

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