Converting - Fractions, Decimals, and Percents
3
 .75
4
1. Fraction to Decimal: Divide the denominator into the numerator. Example:
2. Fraction to Percent:
Step 1: Divide the denominator into the numerator (to convert the fraction into a decimal).
Step 2: Move the decimal point two places to the right (to convert the decimal into a percent).
3
= 0.42
7
= 42%
Example:
Now, to change the decimal to a percent, move two spaces to the right.
3. Decimal to Fraction:
Step 1: Drop the decimal point.
Step 2: Place the decimal part over a denominator equal to its place value.
Step 3: Reduce.
Step 1
Example:
0.47 =
47
100
Example
45
7.45  7
9
7
100
0.15
20
46
Step 2
3
46
1
1

Now, multiply by
3
100
3
1


100
46

300
23
150
4. Decimal to Percent: Move the decimal point two places to the right or multiply by 100.
Example: .08 = 8%
Example: .50 = 50%
5. Percent to Decimal: Move the decimal point two places to the left or divide by 100.
Example: 50% = .50
Example: 2 12 % = 2 12 ÷ 100 =
5
÷ 100
2
=
5
1
x
2
100
=
5
Divide 200 into 5 and you get .025
200
= .025
6. Percent to Fraction:
Step 1: Drop the percent sign.
Step 2: Divide by 100 (you will always use 100).
Step 3: Reduce.
Example:
20%

20% =
20
100

20
1
=
100
5
Example:
33 13 %

33 13 ÷ 100

100
1
x
3
100
Example:
41.6%

41 106 ÷ 100

=
416
100
÷
10
1
The following formula can be used to help find percent, base, or amount:
P
A

100 B
100
300


1
3
416
1
416
x
=
10
100
1000
{Note: the base usually comes after the word “of”}

52
125
Numerator: is the top number of a fraction.
Denominator: is the bottom number of a fraction
Example:
4 Numerator
5 denominator
Proper Fraction:
In a proper fraction, the fraction is less than one. The numerator of a proper fraction is smaller than the
denominator.
Example:
3
4
Improper Fraction:
An improper fraction is a number greater than or equal to one. The numerator of an improper fraction is
greater than or equal to the denominator.
Example:
9
4
Mixed Number:
A mixed number is a number greater than one. It has a whole number part and a fractional part.
Example: 2
1
4
When to divide and when to reduce:
If your answer comes out as an improper fraction, DIVIDE.
9
1
= 2
4
4
If your answer comes out as a proper fraction, REDUCE.
2
1
=
4
2
Saved : Math Handout (Basic) Converting Fractions, Decimals, & Percents