Fractions and Percentages
The term percent means "per hundred" or "for every hundred". It refers to the specific number for every one hundred of something. The symbol for percent is %.

Here are examples of common fractions and their equivalents in percent:

1/2 = 50%


1/3 = 33.33%


1/4 = 25%


1/5 = 20%


1/8 = 12.5%


1/10 = 10%


1/100 = 1%





Let's take an example:

"In this school, 10% of the students are Asians."

The statement above means for every 100 students in the school, 10 of them are Asians. It can also be said this way: 10 out of 100 students in this school are Asians.

To transform a fraction into a percent, the first thing to do is use the denominator to divide the numerator. Then multiply the quotient (result) by 100. Using a calculator is the quickest way to get the answer.

But, let's say you do not have a calculator. How do you convert a fraction into a percent?

Let us use one of the common fractions mentioned earlier: 1?8 = 12.5%.

Here are the steps again so we can follow them:

  1. Divide the numerator by the denominator.

  2. Multiply the quotient or the result by 100.

  3. Add the percent symbol after the answer.


Step 1. Divide the numerator by the denominator.



Let's divide 1 by 8.



Since we cannot find any 8 in 1, we need to add a decimal point and a zero. This gives us 10, which has one 8 in it. So, we write 1 after the decimal point, on top of our division sign, then multiply it by 8, as shown below.



Next, we need to divide 2 by 8. So, we add another zero, bring that down next to 2, and we get 20. Since we know that there are two 8s in 20, we write 2 next to 1, above our division sign, and multiply 8 by 2, like so:



So, now we add one more zero, and bring it down next to 4, which gives us 40. We know that there are five 8s in 40, so we write 5 right next to 2, above our division sign. After that, we multiply 8 by 5.



We now have our answer to 1 divided by 8 in decimal form: 0.125.


Step 2. Multiply the quotient or the result by 100.



We now multiply 0.125 by 100:

0.125 x 100 = 12.5





As you can see above, when we multiplied our quotient with 100, we just moved the decimal point 2 places to the right. The number of places to move the decimal to corresponds to the number of zeroes after 1 in 100.


Step 3. Add the percent symbol after the answer.


12.5 -> 12.5%




Resource

Browse Common Decimals
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