Question

Fill in the blanks:

$\frac{3}{-5}=\frac{\square }{-25}=\frac{27}{\square }$

Answer 1

Given,

$\frac{3}{-5}=\frac{\square }{-25}=\frac{27}{\square }$

on taking first and second

$\frac{3}{-5}=\frac{\square }{-25}$

To get the denominator $-25$ from $\frac{3}{-5}$, we have to multiply both numerator and denominator by $5$.

Then we get, $\frac{3\times 5}{-5\times 5}=\frac{15}{-25}$

Therefore, $\square =15$

on taking first and third

$\frac{3}{-5}=\frac{27}{\square }$

To get the numerator $27$ from $\frac{3}{-5}$, we have to multiply both numerator and denominator by $9$.

Then we get, $\frac{3\times 9}{-5\times 9}=\frac{27}{-45}$

Therefore, $\square =-45$

Hence, $\frac{3}{-5}=\frac{15}{-25}=\frac{27}{-45}$