Question

Reduce each of the following fractions to the lowest terms : $\frac{517}{799}$

Answer 1

To reduce any fraction to its lowest term first of all we need to find the HCF of both the numbers

$11$	$517$	$17$	$799$
$47$	$47$	$47$	$47$
	$1$		$1$
Prime factors of $517$ are $11\times 47$		Prime factors of $799$ are $17\times 47$

So the common factors of $517and799$ are $1\times 47=47$, hence HCF is $47$

now to find the reduced fraction of $\frac{517}{799}$, we divide both the numerator and denominator by the HCF

hence the reduced fraction is $\frac{517}{799}=\frac{517÷47}{517÷47}=\frac{11}{17}$