Fractions, Decimals, and Percentages

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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.

CONVERSIONSDecimal to Percent

Move the decimal point twice to the right in the original decimal.

Ex. Convert 0.98 to a percent

Ex. Convert 2.951 to a percent

98.

2 951.

%

%

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. %0

Fraction to decimalDivide the numerator by the denominator.

Ex. Convert 3/8 to a decimal

Ex. Convert 112/320 to a decimal

3.0008.375

112.00320

.35

Decimal to fractionPlace the decimal portion of the decimal number in

the numerator and the digit’s place value in the denominator.

Ex. Convert 0.142 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 =142

1000 =71

500

5.48 = =5 48100 5 12

25

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

59 x 100% = 500%

9= 55.5%

23

= =x 100% 200%3 66.6%

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% =55100

=

= =

1120

135%135100

2720

= 17

20

To conclude

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

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Questions?

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