Question

Write each fraction in simplest form : $\frac{65}{52}$

Answer 1

Fraction in simplest form:

To reduce the fraction in simplest form, we divide the fraction by the HCF of numerator and denominator .

HCF= Highest Common Factor

Now we write the factors of numerator and denominator

Factors of $65=1\times 5\times 13$

Factors of $52=1\times 4\times 13$

Here HCF $(65,52)=13$

Now we divide the numerator and denominator by the HCF to make the fraction in simplest form.

$\frac{65÷13}{52÷13}=\frac{5}{4}$

Hence $\frac{5}{4}$ is the fraction in simplest form.