Question
Reduce the fraction to simplest from: $\frac{84}{98}$
✓
Answer
Factors of $84$ are $1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42$ and $84$
Factors of $98$ are $1, 2, 7, 14, 49$ and $98.$
$\therefore$ Common factors of $84$ and $98$ are $1, 7$ and $14.$
Highest of these common factors is $14.$
$\therefore H.C.F.$ of $84$ and $98$ is $14.$
Now,$\frac{84}{98}=\frac{84\div14}{98\div\;14}=\frac67$
Hence, the simplest form of $\frac{84}{98}$ is$\frac67$
Factors of $98$ are $1, 2, 7, 14, 49$ and $98.$
$\therefore$ Common factors of $84$ and $98$ are $1, 7$ and $14.$
Highest of these common factors is $14.$
$\therefore H.C.F.$ of $84$ and $98$ is $14.$
Now,$\frac{84}{98}=\frac{84\div14}{98\div\;14}=\frac67$
Hence, the simplest form of $\frac{84}{98}$ is$\frac67$
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