Question

Write each fraction in simplest form : $\frac{26}{39}$

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

Here factors of numerator and denominator are

Factors of $26=2\times 13$

Factors of $39=3\times 13$

So HCF$(26,39)=13$

Now we divide the given fraction by HCF,

$\frac{26÷13}{39÷13}=\frac{2}{3}$

Hence $\frac{2}{3}$ is the fraction in simplest form.