Convert each of the following into a fraction in the lowest form 12
Answers
12% is converted to .12 to make it a decimal.
.12 is converted to 12/100 to change it to a fraction. The fraction is not in lowest terms.
Reducing the fraction 12/100 to lowest
terms results in the fraction 3/25.
You now must compare it to 1/8.
To see if the fractions are equal you must change both to the same common denominator
The lowest common denominator for 25 and 8 is 200. In order to change 1/8 so that it has a denominator of 200 both the numerator and denominator are multiplied by 1 in the form 25/25.
1/8 * 25/25 = 25/200
To change 3/25 so that it has a denominator of 200 both the numerator and denominator are multiplied by 1 in the form 8/8.
3/25 * 8/8 = 24/200
You can see now that 25/200 is not equal to 24/200 therefore the second choice is not correct.
Converting everything to a percentage:
To convert 1/8 to a percentage, first you must convert it to a decimal.
To convert 1/8 to a decimal, divide the denominator into the numerator. 1 divided by 8 = .125
To convert the decimal .125 to a percentage, move the decimal point two places to the right and add the percentage symbol.
12% is greater then 12.5%