Question

Reduce $\frac{42}{98}$ to the simplest form.

• A. $\frac{36}{49}$
• B. $\frac{3}{7}$
• C. $\frac{6}{7}$
• D. $\frac{12}{7}$

Answer 1

Answer: (B)

Given: $\frac{42}{98}$

$42=2\times 3\times 7$

$98=2\times 7\times 7$

$\Rightarrow \frac{42}{98}=\frac{2\times 3\times 7}{2\times 7\times 7}=\frac{3}{7}$

Therefore, the simplest form of $\frac{42}{98}$ is $\frac{3}{7}$.

Note - we can also continuously divide the numerator and denominator by any common factor till it reduces to its simplest form (i.e., Numerator and Denominator becomes as co-primes).