Question

Lewis completed $\frac{3}{12}$ of a project, while his brother did $\frac{6}{12}$ of the same project. How much work did they do together? Find the answer in the simplest form.

• A. $\frac{5}{6}$
• B. $\frac{2}{4}$
• C. $\frac{3}{6}$
• D. $\frac{3}{4}$

Answer 1

The correct option is D $\frac{3}{4}$

Lewis completed $\frac{3}{12}$ of a project.
His brother did $\frac{6}{12}$ of the same project.

Total work done by both of them is: $\frac{3}{12}+\frac{6}{12}$
To add like fractions, we have to add the numerators only.
$\frac{3}{12}+\frac{6}{12}=\frac{3+6}{12}=\frac{9}{12}$
Now, let's reduce the obtained fraction to its simplest form.
$\frac{9}{12}=\frac{3\times 3}{4\times 3}=\frac{3}{4}$