Wednesday, June 13, 2012

Convert Fractions to Percents


Convert Fractions to Percents

Divide the top of the fraction by the bottom, multiply by 100 and add a "%" sign.

The simplest method is to use a calculator:

Steps:
  • Divide the top of the fraction by the bottom,
  • Then multiply the result by 100 and read off the answer !

Example: What is 5/8 as a percent?

Get your calculator and type in "5 / 8 =", the calculator should show 0.625, then multiply by 100 and your answer is: 62.5% (remember to put the "%" so people know it is "per 100")
Of course you can do the division in your head or on paper if you don't have a calculator!

Another Method

Because percent means "per 100", you can try to convert the fraction to ?/100 form.

Follow these steps:

Step 1: Find a number you can multiply the bottom of the fraction by to get 100.
Step 2: Multiply both top and bottom of the fraction by that number.
Step 3. Then write down just the top number with the "%" sign.

Example 1: Express 3/4 as a Percent

Step 1: We can multiply 4 by 25 to become 100
Step 2: Multiply top and bottom by 25:
×25
3 = 75
4100
×25

Step 3: Write down 75 with the percent sign:

Answer = 75%


Example 2: Express 3/16 as a Percent

Step 1: We have to multiply 16 by 6.25 to become 100
Step 2: Multiply top and bottom by 6.25:
×6.25
3 = 18.75
16100
×6.25

Step 3: Write down 18.75 with the percentage sign:

Answer = 18.75%

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