For additional information, see the Math Notes box in Lesson 2.1.2 of the Core Connections,
Course 2 text. For additional examples and practice, see the Core Connections, Course 2
Checkpoint 2 materials.
Fraction-­‐Decimal-­‐Percent Conversions Notes Examples
Decimal to percent:
Multiply the decimal by 100.
(0.81)(100) = 81%
Percent to decimal:
Fraction to percent:
Percent to fraction:
Write a proportion to find an equivalent
fraction using 100 as the denominator.
Problems
The numerator is the percent.
Use 100 as the denominator. Use the percent
as the numerator. Simplify as needed.
Divide the percent by 100.
43% ÷ 100 = 0.43
22 =
22% = 100
4 = x
4 = 80 = 80%
so decimal,
Convert the
5 fraction,
100
5
100 or percent as indicated.
56 =
56% = 100
1
1.Decimal
Change
to a decimal.
to fraction:
4
Use the digits in the decimal as the
numerator.
3.
Change 0.75 to a fraction
Use the
decimal place value name as
in lowest terms.
the denominator. Simplify as needed.
5.
Change
2 =0.38
1 to a percent. 0.17 =
a. 0.2 = 10
b.
5
17
100
11
50
14
25
to 50%
decimal:
2.Fraction
Change
into a fraction
in lowest terms.
Divide the numerator by the denominator.
4.
6.
3
8
3
11
Change 75% to a decimal.
5 = 5 ÷ 8 = 0.625
= 3 ÷ 8 = 0.375
8
1
to a percent.
=Change
3 ÷ 11 =
5 0.2727… = 0.27
8.
Change 18 to a decimal.
Change
0.3 to afor
fraction.
7.
To see
the process
converting repeating decimals to fractions,
see problem 2-22 in the Core
Connections, Course 2 text or the Math Notes box referenced above.
9.
Change 13 to a decimal.
10. Change 0.08 to a percent.
Problems 3
5
22
11.
Change 87% to a decimal.
12.
Change
13.
Change 0.4 to a fraction in lowest terms.
14.
Change 65% to a fraction in lowest terms.
15.
Change
1
9
to a decimal.
16.
Change 125% to a fraction in lowest terms.
17.
Change
8
5
to a decimal.
18.
Change 3.25 to a percent.
19.
1
Change 16
to a decimal.
Change the decimal to a percent.
20.
Change
1
7
to a percent. Core Connections, Course 2
to a decimal.
21.
Change 43% to a fraction.
Change the fraction to a decimal.
22.
Change 0.375 to a percent.
Change the percent to a fraction.
23.
Change 87 to a decimal.
Change the decimal to a percent.
24.
Change 0.12 to a fraction
25.
Change 0.175 to a fraction