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:

- Divide the numerator by the denominator.

- Multiply the quotient or the result by 100.

- 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%