# How to Convert 0.23 Into Fraction and Percentage

Converting decimals to fractions and percentages is a fundamental math skill useful in various fields of study, including science, engineering, and economics. If you have a decimal like 0.23, it's relatively easy to convert it to fractions and percentages. In this article, we will guide you through the steps to convert 0.23 to fractions and percentages.

## Converting 0.23 into a Fraction:

To convert a decimal number to a fraction, we need to represent the values of the digits in the numerator and denominator using their respective place values. In the number 0.23 the digit 2 is in the tens and the digit 3 is in the hundreds.

Therefore, we can express 0.23 as follows:

We can find the least common multiple (LCM), which is 100, of the denominators 10 and 100 to simplify this fraction. We may then change the fractions so that they share a common denominator of 100:

Therefore, 0.23 can be written as the fraction 23/100.

## Converting 0.23 into a Percentage:

To convert a decimal to a percentage, you need to express it as a fraction of 100, just like multiplying by 100%. 0.23 in decimal can be converted to percent by multiplying by 100.

So, expressed as a percentage, 0.23 is 23%. This can be written mathematically as

0.23×100% = 23%

Remember that the sign "%" stands for "per hundred," thus 23% is equivalent to 23 per 100 or 23 out of 100. Therefore, 0.23 is equal to 23% or 23 out of 100, or the same thing.

## Conclusion

In summary, it is a rather simple process to convert a decimal such as 0.23 into a fraction and percentage. We may quickly change any decimal number into a fraction by knowing the place value of each digit. We can also change a given decimal into a percentage by multiplying it by 100 and adding the sign of the percentage. These fundamental mathematical techniques are necessary for tackling increasingly challenging issues in a variety of academic disciplines.