Converting Fractions, Decimals And Percents Worksheet
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1
2Converting - Fractions, Decimals, and Percents
3
1. Fraction to Decimal: Divide the denominator into the numerator. Example:
.
75
4
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
Example:
= 0.42
Now, to change the decimal to a percent, move two spaces to the right.
7
= 42 %
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.
46
1
1
0 15
.
Now, multiply by
Step 1
3
100
3
47
45
9
0.47 =
. 7
45
7
7
Example:
Example
46
1
46
23
100
100
20
Step 2
3
100
300
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
5
% = 2
1
1
Example: 2
÷ 100 =
÷ 100
2
2
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.
20
20
1
20 %
20 % =
Example:
=
100
100
5
100
1
100
1
%
1
1
Example :
33
33
÷ 100
x
=
3
3
3
100
300
3
416
100
416
1
416
52
41.6 %
6
Example:
41
÷ 100
÷
x
=
10
10
1
10
100
1000
125
P
A
The following formula can be used to help find percent, base, or amount:
{
Note: the base usually comes after the word “of”}
100
B
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