Question

Amy finishes a book in three days. She reads $\frac{3}{10}$ th of the book on the first day and $\frac{3}{100}$ th of the book on the second day. What fraction of the book does she read on the third day?

• A. $\frac{67}{10}$
• B. $\frac{77}{100}$
• C. $\frac{6}{100}$
• D. $\frac{67}{100}$

Answer 1

The correct option is D $\frac{67}{100}$

Fraction of the book read on the first day $=\frac{3}{10}$
Fraction of the book read on the second day $=\frac{3}{100}$
Fraction of the book read on the first and second day $=\frac{3}{10}+\frac{3}{100}$
To add the fractions, we convert them into like fractions $\frac{3}{10}=\frac{3\times 10}{10\times 10}=\frac{30}{100}$
Fraction of the book read on the first and second day $=\frac{30}{100}+\frac{3}{100}=\frac{33}{100}$
To calculate the fraction of books read on the third day, we need to subtract the fraction read from $1,$ as $1$ represents the whole, i.e., the total book .
Fraction of the book read by Amy on the third day $=1-\frac{33}{100}$
To subtract $\frac{33}{100}$ from $1,$ we convert the fractions into equivalent fractions.
We can write $1$ as $\frac{100}{100}$.
Fraction of the book read by Amy on the third day $=\frac{100}{100}-\frac{33}{100}=\frac{67}{100}$
Thus, the fraction of the book read by Amy on the third day is $\frac{67}{100}$.