Question

Fill in the following blanks.

$\frac{10}{25}=\frac{▫}{50}=\frac{40}{▫}$

• A. $\frac{10}{20}=\frac{20}{50}$
• B. $\frac{20}{50}=\frac{40}{100}$

Answer 1

The given ratio is $\frac{10}{25}$ , We have to find an equivalent ratio with a denominator $50$

Now, $25\times 2=50$

Clearly, denominator 25 is multiplied by 2. So, numerator 10 must be multiplied by 2,

i.e, $10\times 2=20$

Thus, $\frac{10}{25}=\frac{10\times 2}{25\times 2}=\frac{20}{50}$

Hence, the missing number is $20$

Again to find the second missing number, we have $\frac{20}{50}=\frac{40}{▫}$

Clearly, the numerator is multiplied by $2$

i.e, $20\times 2=40$

So, the denominator $50$ must be multiplied by $2$

i.e, $50\times 2=100$

Then, $\frac{20}{50}=\frac{20\times 2}{50\times 2}=\frac{40}{100}$

Hence the second missing number is $100$