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

You are watching: 1/16 to percent

The Simplest Method is to Use a Calculator

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Steps:

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

Example: What is 58 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 "%" sign so people know it is "per 100")


Example: What is 58 as a percent?

Multiply 5 by 100first, then divide by 8

500 ÷ 8 = 62.5%

(Remember that "%" sign!)


Or Move the Decimal 2 Places

After dividing, instead of multiplying by 100 we can just move the decimal point 2 places to the right, then add the %


Example: Convert 1/8 to a percentage

Divide 1 by 8:

1 ÷ 8 = 0.125

Move the decimal point 2 places to the right

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Remember to add the "%" sign: 12.5%


Another (Harder) Method

Percent means "per 100", so try to change 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.

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Example 1: Convert 34 to a Percent

Step 1: We can multiply 4 by 25 to become 100

(why 25? because 100 divided by 4 is 25)

Step 2: Multiply top and bottom by 25:


×25
34 = 75100
×25

Example 2: Convert 316 to a Percent

Step 1: We have to multiply 16 by 6.25 to become 100

(why 6.25? because 100 divided by 16 is 6.25)

Step 2: Multiply top and bottom by 6.25:


×6.25
316 = 18.75100
×6.25

Yet Another Method: Proportions

Because a percent is actually a ratio (parts per 100)wecanalso use Proportions to do the conversion.

First, put what you know into this form:

Top of FractionBottom of Fraction = Percent100

Then solve using "multiply across the known corners, divide by the third number":


Example: Convert 316 to percent

Fill in what you know:

316 = Percent100

Multiply across the known corners, then divide by the third number. The "known corners" are top left and bottom right:

Percent = (3 × 100) / 16= 300 / 16= 18.75%

Answer: 316 is 18.75% (same answer as the previous example!)


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