Question
Reduce the following fractions into its simplest form: $\frac{84}{98}$
✓
Answer
Here, numerator $= 84$ and
denominator $= 98$
Factors of $84$ are $1, 2, 3, 4, 6, 7, 12, 14, 21, 42$ and $84$
Factors of $98$ are $1, 2, 7, 14, 49$ and $98$
Common factors of $84$ and $98$ are $1, 2, 7$ and $14 H.C.F$. of $84$ and $98$ is $14$
$\therefore\frac{84}{98}=\frac{84\div14}{98\div14}=\frac{6}{7}$
Hence, the simplest form of $\frac{84}{98}$ is $\frac{6}{7}$.
denominator $= 98$
Factors of $84$ are $1, 2, 3, 4, 6, 7, 12, 14, 21, 42$ and $84$
Factors of $98$ are $1, 2, 7, 14, 49$ and $98$
Common factors of $84$ and $98$ are $1, 2, 7$ and $14 H.C.F$. of $84$ and $98$ is $14$
$\therefore\frac{84}{98}=\frac{84\div14}{98\div14}=\frac{6}{7}$
Hence, the simplest form of $\frac{84}{98}$ is $\frac{6}{7}$.
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