Question

Ryan cycles $\frac{3}{8}$ of a kilometre to the office, while Dwight walks $\frac{11}{24}$ of a kilometre to the same. How far do they travel altogether?

• A. $\frac{1}{2}\text{km}$
• B. $\frac{3}{5}\text{km}$
• C. $\frac{4}{5}\text{km}$
• D. $\frac{5}{6}\text{km}$

Answer 1

The correct option is D $\frac{5}{6}\text{km}$

To know the distance they travel altogether, we have to add the two distances.

Let’s first convert both the fractions into like fractions (same denominators) to make it easier to add.​
$\frac{3}{8}=\frac{3\times 3}{8\times 3}=\frac{9}{24}$

Total distance $=\frac{9}{24}+\frac{11}{24}=\frac{20}{24}\text{km}$
Let’s simplify the fraction into its simplest form​:
$\frac{20}{24}=\frac{20÷4}{24÷4}=\frac{5}{6}\text{km}$