Question

By what should we multiply - 15/28 so that the product may be - 5/7​

Answer 1

let the missing no be x

according to the question

-15/28 × x = -5/7

x= -5/7 × -28/15

x= 4/3

hence the missing no is 4/3

Answer 2

$\huge{\underline{\underline{\bf{\pink{Answer}}}}}$

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$\implies$SOLUTION:-

Let the number to be multiplied be x:-

$\bold{ \frac{ - 15}{28} \times x = \frac{ - 5}{7} }$

TO FIND:-

x = ?

SOLVE FOR x:-

$\frac{ - 15}{28} \times x = \frac{ - 5}{7}$

$We \: will \: do \: the \: reciprocal \: of \: \frac{ - 15}{28} \: as \: when \: it \: will \: go \: to \: the \: other \: side \: it \: will \: go \: in \: divide.$

$x = \frac{ - 5}{7} \times \frac{28}{ - 15}$

$x=\frac{\not{-5}}{\not{7}}\times\frac{\not{28}}{\not{-15}}$

$x = \frac{5}{1} \times \frac{4}{15}$

$x =\frac{\not{5}}{1}\times\frac{4}{\not{15}}$

$x = \frac{1}{1} \times \frac{4}{3}$

$So \: x = \frac{4}{3} .$

$So \:to \:number\: to \:be \:multiplied \:is \:4/3.$

CHECKING BY PUTTING THE VALUE OF x:-

$\frac{ - 15}{28} \times \frac{4}{3} = \frac{ - 5}{7}$

$\frac{ - 15}{28} \times \frac{4}{3}$

$\frac{\not{-15}}{\not{28}}\times\frac{\not{4}}{\not{3}}$

$\frac{ - 5}{7} \times \frac{1}{1}$

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

Hence Checked!!

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