Question

Pair the correct options.

• A. $1$
• B. $\frac{4}{36}$
• C. $\frac{2}{5}$
• D. $\frac{12}{29}$

Answer 1

1) Multiplying the numerator and denominator of $\frac{1}{9}$ by 4, we get its equivalent fraction $\frac{9}{36}.$
i.e., $\frac{1\times 4}{9\times 4}$ = $\frac{9}{36}$

2) Multiplying $\frac{2}{5}$ by 7, we get $\frac{14}{35}.$
i.e., $\frac{2\times 7}{5\times 7}=\frac{14}{35}$
Or, dividing the numerator and denominator of $\frac{14}{35}$ by 7, we get $\frac{2}{5}.$
$\therefore \frac{14}{35}$ is equivlent to $\frac{2}{5}.$

The next two cases have like fractions in them, the addition or subtraction of which involves the addition or subtraction of the numerator, leaving the denominator unchanged.

3) $\frac{21}{29}-\frac{9}{29}$
$=\frac{21-9}{29}$
$=\frac{12}{29}$

4) $\frac{1}{7}$+ $\frac{6}{7}$
$=\frac{1+6}{7}$
$=\frac{7}{7}$
$=1$