How do you convert 0.13 into a fraction and percent?

To convert the decimal 0.13 into both a fraction and a percent, we can follow a straightforward process. Let’s break it down step by step.

Turning 0.13 into a Fraction

First, we need to express 0.13 as a fraction. The decimal 0.13 means 13 hundredths, which can be written as:

• 13/100

Here’s how we arrived at that:

• The number 0.13 has two decimal places, indicating that it is in the hundredths place.
• Thus, we can write it as 13 over 100.

Next, we should check if this fraction can be simplified. The greatest common divisor (GCD) of 13 and 100 is 1, meaning 13/100 is already in its simplest form.

Converting 0.13 into a Percent

Now, let’s convert 0.13 into a percent. To do this, we multiply the decimal by 100:

• 0.13 × 100 = 13

This means that 0.13 is equivalent to 13 percent. In percentage terms, we can express this as:

• 0.13 = 13%

Summary of Conversions

To summarize:

• 0.13 as a fraction is 13/100.
• 0.13 as a percent is 13%.

Understanding these conversions is quite useful, especially in various mathematical applications, such as calculating discounts, interest rates, or even in statistics. If you have any further questions about fractions or percentages, feel free to ask!