Question

Madhavi eats $\frac{1}{4}$ of 20 chocolates and then she divides another one chocolate into 5 equal parts and eats 3 of them. What is the total fraction of chocolates that she has eaten?

• A. $\frac{28}{100}$
• B. $5\frac{3}{5}$
• C. $\frac{20}{100}$
• D. $\frac{28}{5}$

Answer 1

The correct option is A

$\frac{28}{100}$

Number of chocolates eaten from the 20 chocolates = $\frac{1}{4}$ $\times$ 20 = 5 chocolates

Fraction of chocolate eaten from the another chocolate = $\frac{3}{5}$
Total number of chocolates eaten = 5 + $\frac{3}{5}$
$=5+\frac{3}{5}=\frac{25+3}{5}=\frac{28}{5}$
Therefore, she has eaten $5\frac{3}{5}$ of the chocolates.

Now, the total fraction of chocolates she has eaten = $\frac{\text{Number of chocolates she ate}}{\text{Total number of chocolates}}$

= $\frac{\frac{28}{5}}{20}$

= $\frac{28}{100}$