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 $\frac{4}{5}$.

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