Introduction

Decimal numbers are a common way to represent fractions in everyday life. However, in some situations, it may be necessary to convert a decimal number to a fraction. For example, when working with ratios or proportions, it’s often easier to use fractions than decimals. In this article, we’ll explore how to convert decimal numbers to fractions and simplify them. We’ll also answer the question: what’s .13 as a fraction?

Decimal to Fraction Conversion

To convert a decimal number to a fraction, we need to follow a few simple steps:

1. Write down the decimal number as a fraction with a denominator of 1.
2. Multiply both the numerator and denominator by 10 until the decimal point disappears.
3. Simplify the resulting fraction if possible.

Let’s apply these steps to .13:

1. .13 can be written as 0.13/1.
2. Multiplying both the numerator and denominator by 100 gives us 13/100.
3. This fraction cannot be simplified any further, so we have our answer: .13 as a fraction is 13/100.

Simplifying Fractions

When converting decimals to fractions, it’s important to simplify the resulting fraction if possible. Simplifying a fraction means dividing both the numerator and denominator by their greatest common factor (GCF). This results in a fraction that is in its simplest form.

In the case of 13/100, the GCF is 13. Dividing both the numerator and denominator by 13 gives us 1/8. Therefore, .13 as a fraction simplified is 1/8.

Conclusion

Converting decimals to fractions is a useful skill to have in many situations. By following a few simple steps, we can convert any decimal number to a fraction and simplify it if necessary. In the case of .13, we found that it can be written as 13/100 and simplified to 1/8. Now you know what .13 as a fraction is!