Question

Which of the following fraction is in it's simplest form?

• A. $\frac{32}{33}$
• B. $\frac{33}{11}$
• C. $\frac{32}{34}$

Answer 1

The correct option is A $\frac{32}{33}$

To determine the given fractions are in its simplest form or not, we have to find the common factors in the numerator and the denominator.
Let's look at each options:

1) $\frac{32}{33}=\frac{1\times 32}{1\times 33}=\frac{32}{33}$
The common factor in both the numerator and the denominator is 1, hence $\frac{32}{33}$ is in its simplest form.

2) $\frac{32}{34}=\frac{2\times 16}{2\times 17}=\frac{16}{17}$
The common factor in both the numerator and the denominator is other than 1, hence $\frac{32}{34}$ is not in the simplest form.

3) $\frac{33}{11}=\frac{3\times 11}{1\times 11}=\frac{3}{1}=3$
The common factor in both the numerator and the denominator is 1, hence $\frac{33}{11}$ is in the simplest form.

Therefore, $\frac{32}{33}$ is in it's simplest form.