Fractions to Decimals to Percents Math: Notes
A fraction to a decimal:
Divide the denominator (the bottom part) into the numerator (the top part):
1
/4 = 1 ÷ 4.00 = 0.25
Example: The fraction 3/4: Divide 3 by 4, and you end up with the decimal .75.
3
3
—
4
becomes 4)3.00 .75, so = .75
4
The fraction 15/8: Divide 15 by 8, and you end up with the decimal 1.875.
15
15
becomes 8)15.000 =1.875, so — =1.875
8
8
A fraction to a percent:
Multiply the fraction by 100 and reduce it.
1
/4 x
loo
n
= 100/
4
= 25/
1
=
25%
A decimal to a fraction:
Starting from the decimal point, count the decimal places. If there is one decimal place,
put the number over 10 and reduce. If there are two places, put the number over 100 and
reduce. If there are three places, put it over 1000 and reduce, and so on.
Example: 0.25 =
25
/100 =
1
/4
0.5 = 5/10 = 1/2
0.450 = 450/1000 = 9/20
