Question

How do you convert $0.23$ into a fraction and percent?

Answer 1

Step 1. Conversion of decimal into fraction:

The process of writing decimal values in fraction form and vice versa is known as decimal to fraction conversion.

Now, we will convert $0.23$ into fraction.

The number $0.23$ is same as $\frac{23}{100}$ as it can be view $1.00$ as $\frac{1}{1}$.

Let,

$\Rightarrow$ $x=0.23$

$\Rightarrow$ $10x=2.3$

$\Rightarrow$ $100x=23$

$\Rightarrow$ $1000x=230$

So,

$\Rightarrow$ $1000x-100x=230-23$

$\Rightarrow$ $900x=207$

$\Rightarrow$ $x=\frac{207}{900}$

$\Rightarrow$ $x=\frac{23}{100}$

So, the fraction value is $\frac{23}{100}$.

Step 2. Converting $\frac{23}{100}$ into percent:

A percentage is a figure or ratio that is stated as a percentage of one hundred. It is frequently expressed as a percentage.

To convert a fraction to a percentage, simply multiply it by 100 and reduce it to a percentage.

so,

$\frac{23}{100}\times 100=23\%$

Hence, the value of $0.23$ into fraction is $\frac{23}{100}$and the percentage is $23\%$.