How do I convert 19.9% into a fraction?
19.9%
- percentages are always out of 100 so this is the same as saying the following:
19.9/100
- however it's not proper form to be using a decimal in a fraction so what you could do it move the decimal over to the right for both the numerator and denominator:
199/1000
- then simplify if you can
Theres a really neat button on most scientific calculators; it usually looks like a/b or something like that and it simplifies fractions for you
In this scenario you can't reduce the fraction because 199 is a prime #.
To convert a percentage into a fraction, follow these steps:
Step 1: Divide the percentage by 100 to convert it into a decimal. In this case, divide 19.9 by 100: 19.9 ÷ 100 = 0.199.
Step 2: Simplify the decimal fraction, if possible. Since 0.199 has no common factors other than 1, it cannot be simplified further.
Step 3: Write the decimal fraction as a fraction by placing the decimal number over 1. For example, 0.199 can be written as 0.199/1.
Step 4: Multiply the numerator and denominator by 100 to remove the decimal. Multiply both 0.199 and 1 by 100:
0.199 × 100 / 1 × 100 = 19.9 / 100.
Step 5: Simplify the fraction, if possible. Both 19.9 and 100 can be divided by 19.9, resulting in:
19.9 ÷ 19.9 / 100 ÷ 19.9 = 1 / 5.
Therefore, 19.9% can be written as the fraction 1/5.