Question

Ronnie's mother baked a chocolate cake. Ronnie ate ${\frac{4}{9}}^{\text{th}}$ of it on the first day and ${\frac{3}{9}}^{\text{th}}$ of it on the second day. How much of the cake did he eat in two days?

• A. $\frac{5}{9}$
• B. $\frac{10}{9}$
• C. $\frac{7}{9}$
• D. $\frac{6}{9}$

Answer 1

The correct option is C $\frac{7}{9}$

Fraction of the cake eaten by Ronnie on the first day $=\frac{4}{9}$
Fraction of the cake eaten by Ronnie on the second day $=\frac{3}{9}$

$\therefore$ Fraction of the cake eaten on both the days

$=\frac{4}{9}+\frac{3}{9}$

$=\frac{4+3}{9}$

$=\frac{7}{9}$

Thus, the fraction of the cake eaten by Ronnie in two days is $\frac{7}{9}.$