Question

Fill in the blanks:

$\frac{6}{15}=\frac{1}{\square }=\frac{18}{\square }$

Answer 1

Given,

$\frac{6}{15}=\frac{1}{\square }=\frac{18}{\square }$

on taking first and second

$\frac{6}{15}=\frac{1}{\square }$

To get the numerator $1$ from $\frac{6}{15}$, we have to divide both numerator and denominator by $6$.

Then we get, $\frac{6÷6}{15÷6}=\frac{1}{\left({\displaystyle \frac{5}{2}}\right)}$ ($15÷6$, divide by the common factor $3$, we get $\frac{5}{2}$ )

Therefore, $\square =\frac{5}{2}$

on taking first and third

$\frac{6}{15}=\frac{18}{\square }$

To get the numerator $18$ from $\frac{6}{15}$, we have to multiply both numerator and denominator by $3$.

Then we get, $\frac{6\times 3}{15\times 3}=\frac{18}{45}$

Therefore, $\square =45$

Hence, $\frac{6}{15}=\frac{1}{\left({\displaystyle \frac{5}{2}}\right)}=\frac{18}{45}$