Step 1: Convert the fraction to a
The first step in converting a fraction to a percentage is to rewrite it as a decimal. To do this, you the numerator (the top ) by the denominator (the bottom number). For example, if you have the fraction 3/4, you would divide 3 by 4, which equals 0.75.
Step 2: Multiply the decimal by 100
Once you have the decimal form of the fraction, you need to convert it to a percentage. To do this, you multiply the decimal by 100. In the example above, 0.75 x 100 = 75. Therefore, 3/4 as a percentage is 75%.
Step 3: Simplify the fraction (if needed)
Sometimes, the resulting percentage may not be a whole number. For example, if you have the fraction 2/3, the decimal form is 0.666… and multiplying it by 100 gives you 66.666…%. In this case, it may be helpful to simplify the fraction before converting it to a percentage. To do this, find a common divisor for both the numerator and denominator and divide them both by that number until you can no longer simplify.
For example:
2/3 = 6/9
6 and 9 both have a common divisor of 3, so divide both by 3:
6/3 = 2 and 9/3 = 3
Therefore, 2/3 is equivalent to 6/9, which can be simplified to 2/3.
Now, we can convert 2/3 to a percentage:
2/3 = 0.666…
0.666… x 100 = 66.666…
So 2/3 as a percentage is 66.67%, rounded to two decimal places.
Overall, converting a fraction to a percentage is a simple process that can be done in just a few steps. By following these steps, you can quickly and easily percentages from fractions, which can be useful in a variety of situations. Remember to simplify the fraction if necessary and round to the appropriate number of decimal places for your needs.