Fractions to Decimals• Remember that a decimal is a fractional number:

it is a part of something whole.• Do the following steps to convert a fraction to a

decimal.• For example: Convert 4/9 to a decimal.• 1) Divide the numerator of the fraction by the

denominator (e.g. 4 ÷ 9=0.44444). • 2) Then round the number to the 10th, 100th or

1000th place. (e.g. .4, .44, .444).

1.00 (whole in blue) .4444 (part in green)

Decimals to Percents• Remember that a decimal is a fractional number. When it is written as a

percent, the decimal number is the part and 100 is always the whole. • Do the following steps to convert a decimal to a percent. For example: Convert 0.83 to a percent. 1) Multiply the decimal by 100 (e.g., 0.83 x 100 = 83) 2) Add a percent sign after the answer (e.g., 83%)

1.00 or 100% .83 or 83% (part in ( whole in blue) green)

Fractions to PercentsDecimals can take you from fractions to percents because decimals are fractional numbers!

Fraction Decimal Percent

(6/8 = 6 ÷ 8 = .75 = .75 * 100= 75%)

2 parts 25 parts

6 parts 75 parts

Whole=8 Whole=100

Percentage Per$pective!

• What else has a whole = 100?• How about 100 pennies in one dollar?• Example: What is 25% of one dollar?• 25/100 = .25 = a quarter!• Example: What percentage of one dollar is a dime?• Ten cents = .10 = .10 x 100 = 10% of

one dollar!• Example: What coins would you use to represent 17% of a

dollar?• 17/100 = .17 = .10 + .05 + .02 (a dime, nickel and

2 pennies!)• See how you can always cash in on percentages!