Prentice Hall Algebra 1

Skills Handbook > Fractions, Decimals, and Percents

Fractions, Decimals, and Percents

Percent means per hundred. 50% means 50 per hundred. 50 % = 50 100 = 0.50 . 50 percent equals , 50 over 100 , equals , 0.50 , .

You can write a fraction as a percent by writing the fraction as a decimal first. Then move the decimal point two places to the right and write a percent sign.

Example 1

Write each number as a percent.

3 fifths

3 5 = 0.6 0.6 = 60 % table with 2 rows and 1 column , row1 column 1 , 3 fifths , equals 0.6 , row2 column 1 , 0.6 equals 60 percent , end table
7 20 7 twentieths

7 20 = 0.35 0.35 = 35 % table with 2 rows and 1 column , row1 column 1 , 7 twentieths , equals , 0.35 , row2 column 1 , 0.35 , equals 35 percent , end table
2 thirds

2 3 = 0.66 6 ¯ 0.66 6 ¯ = 66. 6 ¯ % ≈ 66.7 % table with 2 rows and 1 column , row1 column 1 , 2 thirds , equals , 0.66 , 6 bar , row2 column 1 , 0.66 , 6 bar , equals 66. , 6 bar , percent almost equal to , 66.7 , percent , end table

You can write a percent as a decimal by moving the decimal point two places to the left and removing the percent sign. You can write a percent as a fraction with a denominator of 100. Then simplify the fraction, if possible.

Example 2

Write each percent as a decimal and as a fraction or mixed number.

25 % 25 % = 0.25 25 % = 25 100 = 1 4 table with 3 rows and 1 column , row1 column 1 , 25 percent , row2 column 1 , 25 percent equals , 0.25 , row3 column 1 , 25 percent equals , 25 over 100 , equals , 1 fourth , end table
1 2 % 1 2 % = 0.5 % = 0.005 1 2 % = 1 2 100 = 1 2 ÷ 100 = 1 2 ⋅ 1 100 = 1 200 table with 4 rows and 2 columns , row1 column 1 , 1 half , percent , column 2 , row2 column 1 , 1 half , percent , column 2 equals 0.5 percent equals , 0.005 , row3 column 1 , 1 half , percent , column 2 equals . fraction 1 half , over 100 end fraction . equals , 1 half , divides 100 , row4 column 1 , , column 2 equals , 1 half , dot , 1 100th , equals , 1 200th , end table
360%

360 % = 3.6 360 % = 360 100 = 18 5 = 3 3 5 table with 2 rows and 1 column , row1 column 1 , 360 percent equals 3.6 , row2 column 1 , 360 percent equals , 360 over 100 , equals , 18 over 5 , equals 3 , and 3 fifths , end table

Exercises

Write each number as a percent. If necessary, round to the nearest tenth.

0.56
0.09
6.02
5.245
8.2
0.14
1 seventh
9 twentieths
1 ninth
5 sixths
3 fourths
7 eighths

Write each percent as a decimal.

7%
8.5%
0.9%
250%
83%
110%
15%
72%
0.03%
36.2%
365%
101%

Write each percent as a fraction or mixed number in simplest form.

19%
3 fourths , percent
450%
4 fifths , percent
64%
2 thirds , percent
24%
845%
3 eighths , percent
480%
60%
350%

End ofPage 793

Fractions, Decimals, and Percents

Example 1

Example 2

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