Get the solution to "How to convert 0.23 into a fraction and..."

Lucille Li

Answered question

2023-02-08

How to convert

0.23

into a fraction and percent?

Answer & Explanation

Mara Shepherd

Beginner2023-02-09Added 10 answers

Step 1. Decimal to fraction conversion:
The conversion of decimal numbers into fractional values and vice versa is referred to as decimal to fraction.
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

\frac{1}{1}

.
Let,

\Rightarrow

x = 0.23

\Rightarrow

10 x = 2.3

\Rightarrow

100 x = 23

\Rightarrow

1000 x = 230

So,

\Rightarrow

1000 x - 100 x = 230 - 23

\Rightarrow

900 x = 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 ratio or number that is expressed as a percentage of 100 is called a percentage. It's often described 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 %

Therefore, the value of

0.23

into fraction is

\frac{23}{100}

and the percentage is

23 %

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