Question

Fill in the blanks:

$\frac{\square }{7}=\frac{-25}{\square }=\frac{-35}{49}$

Answer 1

Given,

$\frac{\square }{7}=\frac{-25}{\square }=\frac{-35}{49}$

on taking first and third

$\frac{\square }{7}=\frac{-35}{49}$

To get the denominator $7$ from $\frac{-35}{49}$, we have to divide both numerator and denominator by $7$.

Then we get, $\frac{-35÷7}{49÷7}=\frac{-5}{7}$

Therefore, $\square =-5$

on taking first and second

$\frac{-5}{7}=\frac{-25}{\square }$

To get the numerator $-25$ from $\frac{-5}{7}$, we have to multiply both numerator and denominator by $5$.

Then we get, $\frac{-5\times 5}{7\times 5}=\frac{-25}{35}$

Therefore, $\square =35$

Hence, $\frac{-5}{7}=\frac{-25}{35}=\frac{-35}{49}$