Question

Combined portion of comic and fictional books is part of all the books.

• A. $\frac{60}{70}$
• B. $\frac{53}{70}$
• C. $\frac{58}{70}$
• D. $\frac{65}{70}$

Answer 1

The correct option is D $\frac{65}{70}$

$\text{Fraction of comic books =}\frac{3}{7}$

We can represent this fraction as:


$\text{Fraction of fictional books =}\frac{5}{10}$

We can represent this fraction as:


The fractions here are unlike fractions.

To calculate the combined fraction, we have to convert the fractions into like fractions with the same denominator.

$\text{So, we can represent}\frac{3}{7}as:$

$\frac{3}{7}=$ $\frac{3\times 10}{7\times 10}$

$=\frac{30}{70}$

$\text{Also, we can represent}\frac{5}{10}as:$

$\frac{5}{10}=$ $\frac{5\times 7}{10\times 7}$

$=\frac{35}{70}$

Calculating the combined fraction of comic and fictional books, we get:

$\frac{3}{7}+$ $\frac{5}{10}=$ $\frac{30}{70}+$ $\frac{35}{70}$

$=\frac{30+35}{70}$

$=\frac{65}{70}$

$\therefore \frac{65}{70}\text{represents the combined fraction of}$ $\text{comic and fictional books}.$