Question

Write each of the following in lowest terms:

$\frac{75}{125}=\_\_\_$

Answer 1

• Step 1: It can be observed that $5$ is the common factor of $75$ and $125$. Divide the numerator and denominator by the common factor $5$.

$\frac{75÷5}{125÷5}=\frac{15}{25}$

• Step 2: Again, there is a common factor of $15$ and $25$ that is $5$. Divide the numerator and denominator of the obtained fraction $\frac{15}{25}$ by $5$.

$\frac{15÷5}{25÷5}=\frac{3}{5}$

• Now, there is no common factor of $3$ and $5$ other than $1$. Hence, the simplest form of $\frac{75}{125}$ is $\frac{3}{5}$.