Question

Alex was given 1$\frac{1}{2}$ piece of cake and his sister was given 1$\frac{1}{3}$ piece of cake. Find the total amount of cake given to both of them.

• A. 2$\frac{5}{6}$.
• B. 1$\frac{5}{6}$.
• C. $\frac{5}{6}$.
• D. $\frac{1}{6}$.

Answer 1

The correct option is A 2$\frac{5}{6}$.

Cake given to Alex = 1$\frac{1}{2}$ piece

Cake given to Alex's sister = 1$\frac{1}{3}$ piece

Total cake given to them = $1\frac{1}{2}+1\frac{1}{3}=\frac{3}{2}+\frac{4}{3}$

= $\frac{3\times 3+4\times 2}{2\times 3}$ = $\frac{9+8}{6}=\frac{17}{6}=2\frac{5}{6}$

Therefore, the total amount of cake given to both of them is 2$\frac{5}{6}$.