Question

Write each fraction in its lowest terms :

i) $\frac{36}{81}$

ii) $\frac{60}{45}$

iii) $\frac{500}{175}$

iv) $\frac{46}{69}$

Answer 1

The lower term or simplest fraction is a fraction that reduced to a lowest term by dividing both the numerator and denominator by their greatest common factor.
(i) $\frac{36}{81}=\frac{9\times 4}{9\times 9}$
Since, the greatest common factor is $9$
So, $\frac{36}{81}=\frac{4}{9}$

(ii) $\frac{60}{45}=\frac{15\times 4}{15\times 3}$
Since, $15$ is the greatest common factor.
So, $\frac{60}{45}=\frac{4}{3}$

(iii) $\frac{500}{175}=\frac{25\times 4\times 5}{25\times 7}$
Since, $25$ is the greatest common factor.
So, $\frac{500}{175}=\frac{20}{7}$

(iv) $\frac{46}{69}=\frac{23\times 2}{23\times 3}$
Since, $23$ is the greatest common factor.
So, $\frac{46}{69}=\frac{2}{3}$