Question

Fill in the blanks:

$\frac{14}{21}$=$\frac{}{3}$=$\frac{6}{}$=$\frac{}{27}$

• A. $\frac{2}{3}$
• B. $\frac{6}{9}$$,\frac{18}{27}$

Answer 1

First we find the HCF of numerator and denominator of the first ratio.

HCF=Highest Common Factor

HCF$(14,21)=7$

$\frac{14÷7}{21÷7}=\frac{2}{3}$ ( on dividing the numerator and the denominator by $7$)

So to get the second blank we multiply the numerator and denominator by the same number such that $3$.

$\frac{2\times 3}{3\times 3}=\frac{6}{9}$(by applying the rule of equivalent fractions )

To get the third blank we multiply the numerator and denominator by $3$.

$\frac{6\times 3}{9\times 3}=\frac{18}{27}$(by applying the rule of equivalent fractions )