Question

Ashi eats $\frac{7}{15}$ of a cake while Abhi eats $\frac{6}{15}$ of the cake. What is the total amount of cake consumed by both Abhi and Ashi?

• A. $\frac{13}{15}$
• B. $\frac{10}{15}$
• C. $\frac{17}{15}$
• D. $\frac{11}{15}$

Answer 1

The correct option is A $\frac{13}{15}$

Fraction of cake eaten by Ashi $=\frac{7}{15}$
Fraction of cake eaten by Abhi $=\frac{6}{15}$

Total amount of eaten cake = $\frac{7}{15}+\frac{6}{15}$ (Like fractions)

As the denominators of the fractions are same, the numerators can be added directly and the denominator remains same.

$=\frac{7+6}{15}$

$=\frac{13}{15}$

Hence, they have eaten $\frac{13}{15}$ of the cake in total.