What is 18%as a Fraction?

What is 18%as a Fraction?

To express 18% as a fraction, you can write it as 18/100. This is because “percent” means “per hundred,” so 18% is equivalent to 18 parts out of 100, which can be represented as the fraction 18/100. You can further simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2, to get 9/50.

Converting Percent to Fraction

Percents represent a ratio of a number out of 100. Any percent can be expressed as an equivalent fraction with a denominator of 100. Being able to convert between percents and fractions allows flexibility in working with these related representations of ratios.

Let’s look at converting the percent 18% to a fraction step-by-step:

Understanding Percents

A percent expresses a part per hundred. For example:

18% means 18 parts out of 100 total parts.

Any percent can be represented by a fraction with 100 as the denominator and the percent numeral as the numerator.

Writing 18% as a Fraction

To convert 18% to a fraction:

1. Identify the percentage 18%
2. Make the numerator 18 (the percentage numeral)
3. Make the denominator 100 to represent “per hundred”
4. Write the fraction: 18/100
5. Simplify: 18/100 = 9/50

Therefore, 18% as a simplified fraction is 9/50.

Converting Any Percent

This process works for any percent:

25% = 25/100 50% = 50/100 = 1/2 1% = 1/100 99% = 99/100

Being able to move fluidly between percent and fraction forms allows flexibility in working with ratios and proportions.

Checking the Work

To verify our conversion, we can take the fraction 9/50 and convert back to a rounded percent:

9/50 = 0.18 = 18% ✅

Getting back 18% confirms that 9/50 is the correct fractional equivalent.

In summary, to write a percent as a fraction, make the numerator the percent numeral, denominator 100, and simplify if possible. Converting between forms builds understanding of ratios.