Question

the product of 5 7/9 and 27/56 is what number?


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Answer 1

$The \: product \: of \: 5 \frac{7}{9} \\and \:2\frac{7}{56}$

$= \frac{5\times 9+7}{9} \times \frac{2\times 56+7}{56}$

$=\frac{45+7}{9} \times \frac{112+7}{56}$

$= \frac{52}{9} \times \frac{119}{56}$

$= \frac{4 \times 13 \times 7 \times 17}{ 9 \times 4 \times 2 \times 7}$

$= \frac{13 \times 17}{9 \times 2} \\= \frac{221}{18}$

$= 12\frac{5}{18}$

Therefore.,

$\red{ The \: product \: of \: 5 \frac{7}{9} \\and \:2\frac{7}{56}}$

$\green { = 12\frac{5}{18} }$

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