Presentation on theme: "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."— Presentation transcript:
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 Percents Decimals 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=8Whole=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!