Question

How do I add a whole number with a fraction?

Answer 1

Add a whole number with a fraction:

Whole number:

All positive numbers that do not contain any fractions or decimal points are referred to as whole numbers.

Example: $\left\{0,1,2,3,4,5..\right\}$

Fraction:

A fraction is a part of a whole number, and a way to split up a number into two parts.

Example: $\left\{\frac{4}{2},\frac{3}{5},\frac{9}{3},\frac{1}{7}...\right\}$

The steps involved while adding a whole number with a fraction are:

1. By taking $1$ as the denominator, convert the whole number into a fraction.
2. Make the denominators of both fractions equal by multiplying both the numerator and denominator of the whole number with a common integer.
3. Then add the numerators of the two fractions.

For example: $4+\frac{1}{2}$

Step-1: Take $\mathbf{1}$ as the denominator for the whole number:

$\Rightarrow 4+\frac{1}{2}=\frac{4}{1}+\frac{1}{2}$

Step-2: Make the denominators of both fractions equal:

Multiply both numerator and denominator of the whole number with a common integer $\frac{2}{2}:$

$\begin{array}{rcl}& \Rightarrow & 4+\frac{1}{2}=\frac{4\times 2}{1\times 2}+\frac{1}{2}\\ & \Rightarrow & =\frac{8}{2}+\frac{1}{2}\\ & \Rightarrow & =\frac{9}{2}\end{array}$

Hence, in order to add a fraction with a whole number modify the whole number into a fraction, make the denominator common, then add the two numerators.