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## Convert the following fraction or mixed number to a percent. 1/8

Convert the following fraction or mixed number to a percent. 1/8

"per cent" is short for "per centum" which is Latin for "per hundred".

So (1/8)*(100/100) = (100/8)/100 is 100/8 per hundred = 12.5%

Students having biggest episode about percentage. I tell him it is only converting cents to dollars, and vice Versa.
You can cross-multiply to convert fractions into percentages.

1      x
— = —
8     100

(100)1 = x(8)

100 = 8x

Isolate x by dividing both sides of the equation by 8.

100       8x
—    =   —
(8)        (8)

100
—   =  x
8

Simplify.

12.5 = x

So one out of eight equals 12.5 out of a hundred, or

12.5 %
Here is another strategy.

1/8=1/(2*2*2)
Each 2 needs a 5 to make 10 because a terminating decimal can be written as a fraction whose denominator is a power of 10.
Multiply both numerator and denominator by 5*5*5 which equals 125.
1(125)/8(125)=125/1000=0.125
Move the decimal point two places to the right to get 12.5%

You can do what Kevin W. suggested; divide 1 by 8 and divide until the division stops or terminates. After that, as Kevin W. said, multiply by 100 or move the decimal point two places to the right and add the % symbol.
When dividing make sure that the numerator is on the inside of the division sign and the denominator is on the outside of the division sign.
______
8l 1.000     Add zeroes as you divide until the division process stops. I added three zeroes because I knew the division process would stop after three divisions because of the three 2's.(1000 is the smallest power of 10 divisible by 8)
to convert a fraction to a percent simply divide the numerator by the denominator and multiply the answer by 100

1÷8 = 0.125
0.125 x 100= 12.5