Question

Reduce the following fractions to simplest form:

$\frac{84}{98}$

Answer 1

A fraction is said to be in the simplest (or lowest) form if its numerator and denominator have no common factor except 1.

$\Rightarrow$To reduce a fraction to its simplest form we find the HCF of the numerator and the denominator, and then divide both of them by the HCF.
HCF of $84=14\times 6$ and $98=14\times 7$ = 14

$\frac{84}{98}=\frac{84÷14}{98÷14}=\frac{6}{7}$

The simplest form of $\frac{84}{98}$ is $\frac{6}{7}$.