Question
Reduce the following fractions into its simplest form: $\frac{72}{90}$
✓
Answer
Here, numerator $= 72$ and denominator $= 90$
Factors of $72$ are $1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36$ and $72$
Factors of $90$ are $1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45$ and $90$
Common factors of $72$ and $90$ are $1, 2, 3, 6, 9$ and $18 H.C.F.$ of $72$ and $90$ is $18$
$\therefore\frac{72}{90}=\frac{72\div18}{90\div18}=\frac{4}{5}$
Hence, the simplest form of $\frac{72}{90}$ is $\frac{4}{5}$.
Factors of $72$ are $1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36$ and $72$
Factors of $90$ are $1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45$ and $90$
Common factors of $72$ and $90$ are $1, 2, 3, 6, 9$ and $18 H.C.F.$ of $72$ and $90$ is $18$
$\therefore\frac{72}{90}=\frac{72\div18}{90\div18}=\frac{4}{5}$
Hence, the simplest form of $\frac{72}{90}$ is $\frac{4}{5}$.
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