How do you make a percentage that invloves a decimal a fraction in simplest form?

Answer 1

Make the percentage into a decimal then a fraction, which is usually two or three digits over a factor of 10. Decimal percentages will be expressed using 1000 or larger denominators.

One way of saying this is that after reaching a decimal form, write the numbers after the decimal over 1 followed by as many 0's as there are numbers after the decimal.

Examples:

28% = .28 = 28/100

40.2% = .402 = 402/1000

55.25% = .5525 = 5525/10000

Move the decimal to the right 2 times and when you get your number you put it over 100 because percent means per hundred.

If you have the number 0.8%, you move the decimal 2 times to the right and you get .008 (8/1000) because when you have a single number like that you add zero to fill in the space.

Reduce the fraction to its simplest form by dividing the numerator and denominator by the same number, which is the same as dividing by 1.

Example:

28/100 divided by 4/4 = 7/25 -- this is the simplest form

402/1000 divided by 2/2 = 201/500 -- this is simplest form (201 = 67x3)

5525/10000 divided by 25/25 = 221/400 -- this is simplest form (221 = 13x17)

the numbers after the decimal over 1 followed by as many 0's as there are numbers after the decimal.