Question

You have $\frac{2}{3}$ of a chocolate bar. Your friend gave $\frac{1}{6}$ of his bar to you. So how much chocolate bar do you have now?

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

Answer 1

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

The amount of chocolate bar you have $=\frac{2}{3}$
The amount of chocolate bar your friend gave to you $=\frac{1}{6}$
Total amount of chocolate bar you have now $=\frac{2}{3}+\frac{1}{6}$
$\frac{2}{3}$ and $\frac{1}{6}$ are unlike fractions.
To add unlike fractions, first convert them into like fractions by finding the equivalent fractions with the same denominator.
$\frac{2}{3}=\frac{2\times 2}{3\times 2}=\frac{4}{6}$
$\frac{2}{3}+\frac{1}{6}=\frac{4}{6}+\frac{1}{6}=\frac{5}{6}$