Transcript Fractions to Decimals

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%
( whole in blue)
.83 or 83% (part in
green)
Fractions to Percents
Decimals can take you from fractions to percents
because decimals are fractional numbers!
Fraction
(6/8 =
6÷8=
2 parts
6 parts
Whole=8
Decimal
.75 =
Percent
.75 * 100= 75%)
25 parts
75 parts
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!