Question

Write each fraction in simplest form : $\frac{21}{84}$

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 find the factors of numerator and denominator.

Factors of $21=1,3,7,21$

Factors of $84=1,2,3,4,6,12,14,21,28,42,84$

Here HCF$(21,84)=21$ (HCF=Highest Common Factor)

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

$\frac{21÷21}{84÷21}=\frac{1}{4}$

Hence $\frac{1}{4}$ is the fraction in simplest form.