Question

Reduce $\frac{84}{98}$ to the simplest form.

Answer 1

The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
The factors of 98 are 1, 2, 7, 14, 49, 98.
The common factors of 84 and 98 are 1, 2, 7, 14.
The H.C.F. of 84 and 98 is 14.
Dividing both the numerator and the denominator by the H.C.F.:
$\frac{84}{98}=\frac{84÷14}{98÷14}=\frac{6}{7}$