Question
Simplity the following to its lowest term: $\frac{75}{80}$

Answer

$\frac{75}{80}$Factors of $75$ are $1, 3, 5, 15, 25$ and $75$
Factors of $80$ are $1, 2, 4, 5, 8, 10, 12, 16, 20, 40$ and $80$
Common factors of $75$ and $80$ are $1$ and $5$ $HCF$ of $75$ and $80$ is $= 5$
Dividing both the numerator and denominator by $5$,
we get: $\frac{75\div5}{80\div5}=\frac{15}{16}$
Therefore, the simplest form obtained is, $\frac{75}{80}=\frac{15}{16}$

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