Question

Fill in the following blanks.

$\frac{14}{21}=\frac{▫}{3}=\frac{6}{▫}$

• A. $\frac{14}{21}=\frac{2}{3}$
• B. $\frac{2}{3}=\frac{6}{9}$

Answer 1

The given ratio is $\frac{14}{21}$ , We have to find an equivalent ratio with a denominator $3$

Now, $21÷7=3$

Clearly, denominator $21$ is divided by $7$. So, the numerator $14$ must be divided by$7$,

i.e, $\frac{14÷7}{21÷7}=\frac{2}{3}$

Thus,

Hence, the first missing number is $2$.

Again to find the second missing number, we have

Clearly, the numerator is multiplied by $3$

i.e, $2\times 3=6$

So, the denominator $3$ must be multiplied by $3$

i.e, $3\times 3=9$

Then, $\frac{2}{3}=\frac{2\times 3}{3\times 3}=\frac{6}{9}$

Hence the second missing number is $9$.