Question

Which of the following difference we will get on subtracting $\frac{2}{15}$ from $\frac{7}{15}$

• A. $\frac{9}{15}$
• B. $\frac{1}{3}$
• C. $\frac{2}{3}$

Answer 1

The correct option is B $\frac{1}{3}$

We need to subtract $\frac{2}{15}$ from $\frac{7}{15}$

$\Rightarrow \frac{7}{15}-\frac{2}{15}=\frac{7-2}{15}=\frac{5}{15}$

Product of prime factors of $5=1\times 5$
Product of prime factors of $15=1\times 5\times 3$

$\therefore \frac{5}{15}=\frac{1\times 5}{1\times 3\times 5}=\frac{1}{3}$