Question

Which Fraction is NOT in its simplest form?

• A. $\frac{7}{8}$
• B. $\frac{5}{10}$
• C. $\frac{3}{2}$

Answer 1

The correct option is B $\frac{5}{10}$

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) $\frac{3}{2}=\frac{1\times 3}{1\times 2}=\frac{3}{2}$
The common factor in both the numerator and the denominator is 1, hence $\frac{3}{2}$ is in its simplest form.

2) $\frac{7}{8}=\frac{1\times 7}{1\times 8}=\frac{7}{8}$
The common factor in both the numerator and the denominator is 1, hence $\frac{7}{8}$ is in its simplest form.

3) $\frac{5}{10}=\frac{1\times 5}{2\times 5}=\frac{1}{2}$
The common factor in both the numerator and the denominator is other than 1, hence $\frac{5}{10}$ is NOT in the simplest form.

$\therefore$ $\frac{5}{10}$ is not in the simplest form.