1. Fractions, Decimals, and Percentages
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2. DEFINITIONS FRACTIONS
Fractions are representations of parts of a whole. They are composed of a numerator and of a denominator.
DECIMALS
A decimal is a number that includes a decimal point and digits to the right of the decimal point.
PERCENTAGES
Percent is defined as parts per hundred.

3. CONVERSIONS Decimal to Percent
Move the decimal point twice to the right in the original decimal.
Ex. Convert 0.98 to a percent
Ex. Convert to a percent . 98 %
2 951 . %

4. Percent to decimal
Remove the percent symbol and move the decimal point twice to the left.
Ex. Convert 46% to a decimal
Ex. Convert 0.182% to a decimal 46 . %
0 182 . %

5. Fraction to decimal Divide the numerator by the denominator.
Ex. Convert 3/8 to a decimal
Ex. Convert 112/320 to a decimal
.375 8
3.000
.35
320
112.00

6. Decimal to fraction
Place the decimal portion of the decimal number in the numerator and the digit’s place value in the denominator.
Ex. Convert to a fraction
Note: Since 142 is in the thousandths place, we use 1000 as the denominator.
Ex. Convert 5.48 to a fraction
142 71
.142 = =
1000
500 48 12
5.48 = 5 = 5
100 25

7. Fraction to Percent
Multiply the fraction by 100% to convert it to a percent.
Ex. Convert 5/9 to a percentage
Ex. Convert 2/3 to a percentage 5
500% x
100% = =
55.5% 9 9 2
200% x
100% = =
66.6% 3 3

8. Percent to Fraction
Remove the percent symbol and divide the percentage value by 100.
Ex. Convert 55% to a fraction
Ex. Convert 135% to a fraction 55 11 =
55% =
100 20
135 27 7 = = = 1
135% 20
100 20

9. To conclude
Remember that fractions, decimals, and percentages are all related as shown by the table in the handout.

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Questions?

11. Fractions, Decimals, and Percentages Links
Fractions Handout
Common Denominator Handout
Fractions Quiz
Fractions, Decimals, & Percentages Quiz
Percentages Handout