Fraction/Decimal/Percent Conversions - Central New Mexico ...
Fraction/Decimal/Percent Conversions
Note: please talk to your instructor for other conversions
Changing fractions to decimals: divide the bottom number into the top number
1 2
.5 2 1 .5
8
1 5
.2 5 1 8.2
Changing decimals to fractions: place a one under the point and a zero under the digits
.7
.7 10
7 10
3.73 3 .73 3 73 100 100
2.6
2
.6 10
26 10
23 5
Changing Decimals to Percents: move decimal point two places to right (add zeros)
.27 = 27.% 1.4 = 140.% 7 = 700.%
.005 = .5%
Changing Percents to Decimals: move the decimal point two places to the left (add zeros)
30% = .30
.57% =.0057
8
1 5
%
.2 5 1 8.2% .082
Note: place a decimal point even if you don't see one
Practice
Read and follow all directions
Directions: Fill in the blanks in the following table. Reduce fractions to lowest
terms. Round decimals to hundredths. Round percents to hundredths.
Mixed number or fraction Decimal Number
Percent
1 2
.336
72%
3 5
12 % 1.23
7 8
3 14% 426.2
8 23
.01
578
Fractions/Decimal/Percent Conversions Revised @ 2009 MLC page 1 of 2
Answers to Practice
Mixed number or fraction
1 2
42 125
18 25
3 5
1 100
1
23 100
7 8
3 100
426
1 5
8
2 3
1 100
578
Decimal Number .50 .336 0.72 0.60 0.01 1.23 0.88 0.03
426.2 8.67 0.01 5.88
Percent 50.00% 33.60%
72.00%
60.00%
12 % 123.00%
88%
3 14% 42,620.00%
867% 1%
588%
Fractions/Decimal/Percent Conversions Revised @ 2009 MLC page 2 of 2
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