Question

Write each fraction in simplest form : $\frac{105}{63}$

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 $105=1,3,5,7,15,21,35,105$

Factors of $63=1,3,7,9,21,63$

Here HCF$(105,63)=21$

Now we divide the numerator and denominator by the HCF(highest common factor)

$\frac{105÷21}{63÷21}=\frac{5}{3}$

Hence $\frac{5}{3}$ is the fraction in simplest form.