Fraction to Percent Conversion (using decimals)

To convert a fraction to a percent:

Divide to get the decimal,

then move the decimal place 2 places to the right,

and put on %.

By Jim Olsen, W.I.U.#P7

Convert to a percent(we already know the answer to this one)

3

4

Use Long division to get the decimal3/4 means 3 ÷ 4. (Put 3 inside and 4 on the outside.)

Then convert the decimal to a percent3/4 = .75 = 75%

.754 3.00

28

20

20

0

Convert to a percent13

8

Use Long division to get the decimal5/8 means 5 ÷ 8. (Put 5 inside and 8 on the outside.)

Then convert the decimal to a percent13/8 = 1.625 = 162.5%

1.6258 13.000

8

50

48

20

16

40

40

0

Examples:1. On a quiz, Pat

answered 17 correct out of 20 questions. What is the percent correct?

2. Of the 80 sixth graders, 70 students ride the bus. What percent ride the bus?

Answers:1. 85% correct

2. 87.5% ride the bus.

17.85 85%

20

.8520 17.00

70 7.875 87.5%

80 8

.8758 7.000

(For more on how to do long division, see the videos at: )

http://faculty.wiu.edu/JR-Olsen/ wiu/BootCamp/Videopages/video4.htm

Closing Notes

Remember

To convert a fraction to a percent:Divide to get the decimal, then move the decimal place 2 places to the right,

and put on %.

#P7