Question

Write each of the following in lowest terms:

$\frac{36}{63}=\_\_\_$

Answer 1

• Step 1: It can be observed that $3$ is the common factor of $36$ and $63$. Divide the numerator and denominator by the common factor $3$.

$\frac{36÷3}{63÷3}=\frac{12}{21}$

• Step 2: Again, there is a common factor of $12$ and $21$ that is $3$. Divide the numerator and denominator of the obtained fraction $\frac{12}{21}$ by $3$.

$\frac{12÷3}{21÷3}=\frac{4}{7}$

• Now, there is no common factor of $4$ and $7$ other than $1$. Hence, the simplest form of $\frac{36}{63}$ is $\frac{4}{7}$.