Convert Fractions to Percents

Divide the peak of the fraction by the lesser, multiply by 100 and add together a "%" sign.

The Simplest Method is to Apply a Reckoner

calculator

Steps:

  • Dissever the top of the fraction by the bottom,
  • And so multiply the result by 100 and read off the answer !

Example: What is 5 8 as a percent?

Get your computer and type in "five ÷ 8 =", the computer should show 0.625

And so multiply past 100 and your answer is: 62.5%

(Remember to put the "%" sign so people know it is "per 100")

OR you can multiply the top by 100 first and so split by the bottom number:

Case: What is five eight as a percent?

Multiply 5 by 100 first, then divide by eight

500 ÷ viii = 62.5%

(Think that "%" sign!)

Or Motion the Decimal two Places

After dividing, instead of multiplying by 100 we tin just motility the decimal bespeak two places to the correct, then add the %

Case: Catechumen 1/viii to a per centum

Divide 1 past eight:

1 ÷ 8 = 0.125

Move the decimal point two places to the right

decimal to percent

Remember to add the "%" sign: 12.v%

Another (Harder) Method

Percent ways "per 100", so try to change the fraction to ? 100 form.

Follow these steps:

Step one: Find a number y'all tin multiply the bottom of the fraction by to become 100.
Step two: Multiply both elevation and bottom of the fraction past that number.
Step 3. Then write down just the top number with the "%" sign.

Instance i: Catechumen 3 iv to a Pct

Pace i: Nosotros can multiply 4 past 25 to become 100

(why 25? considering 100 divided past 4 is 25)

Stride 2: Multiply top and bottom by 25:

Stride 3: Write down 75 with the percent sign:

Respond = 75%

Example 2: Convert three 16 to a Percent

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

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

Pace 2: Multiply top and bottom by 6.25:

Step three: Write down eighteen.75 with the pct sign:

Answer = eighteen.75%

Yet Another Method: Proportions

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

First, put what you know into this grade:

Top of Fraction Bottom of Fraction   = Percent 100

And so solve using "multiply across the known corners, split up past the third number":

Example: Convert 3 16 to percentage

Fill in what y'all know:

3 16   = Percentage 100

Multiply beyond the known corners, and then carve up by the third number. The "known corners" are summit left and bottom right:

Percent = (3 × 100) / 16
= 300 / 16
= xviii.75%

Answer: 3 16 is xviii.75% (same answer as the previous example!)