UNIT 3 Chapter 7-3 Fractions, Decimals, and Percents Vocabulary A percent is a ratio that compares a number to 100. The meaning of 75% is shown at the right. In the figure, 75 out of 100 squares are shaded. prealgebrateachers.com Percents as Fractions To write a percent as a fraction, express the ratio as a fraction with a denominator of 100. Then simplify, if possible. Note that a percent can be
greater than a 100% or less than 1%. Express each percent as a fraction in simplest form Example 1: 45% = = Example 2: 120% = = Example 3: .5% = ==
prealgebrateachers.com Multiply by to eliminate decimal Write Fraction as Percent To write a fraction as a percent, write an equivalent fraction with a denominator of 100. Example 1: = = 80% Example 2: = =225%
prealgebrateachers.com Lets Practice! Write each percent as a fraction and a decimal Ex 1) 20% Ex 2) 85% Ex 3)110% Write each fraction as a percent Ex 4) Ex 5) prealgebrateachers.com
Lets Check Our Answers! Write each percent as a fraction and a decimal Ex 1) 20% , .2 , .85 Ex 2) 85% Ex 3)110% , 1.1 Write each fraction as a percent Ex 4) = 10%
Ex 5) = 40% prealgebrateachers.com Write Percents and Decimals To write a percent as a decimal, divide by 100 (or move the decimal two places to the left) and remove the percent symbol To write a decimal as a percent, multiply by 100 (or move the decimal two places to the right) and add the percent symbol prealgebrateachers.com Write Percents as Decimal Express each percent as a decimal (Remember, divide by 100 or
move the decimal two places to the left) Ex 1) 28% ----divide by 100 and remove the % 28% = Ex 2) 8% 8% = 28% = .28 Ex 3) 375% 8% = .08 375% = 3 7 5% = 3.75% prealgebrateachers.com Write Decimals as Percents Express each decimal as a percent --- (Remember, multiply by 100 and add the % or move the decimal two places to the right)
Ex 1) .35 135% Ex 2) .007 . 35 = .35 = 35% Ex 3) 1.35 .007 = .0 0 7 = .7% prealgebrateachers.com 1.35 = 1. 3 5 = Fractions as a Percent When expressing a fraction as a percent, express the fraction as a decimal then express the decimal as a percent
Example 1) Ex 2) = .625 = 62.5% = .833333 = 83.3% prealgebrateachers.com Remember Fractions, decimals, and percents are all different names that represent the same number .5
50% prealgebrateachers.com Lets Practice Write the percent as a decimal Ex 1) 50% Ex 2) 35% Ex 3) 2% Write the decimal as a percent Ex 4) .75 Ex5) .05
Ex 6) 1.15 Write the fraction as a percent Ex 7) Ex 8) prealgebrateachers.com Lets Check Our Answers! Write the percent as a decimal Ex 1) 50% Ex 2) 35% =.50
.35 Ex 3) 2% = . 02 Write the decimal as a percent Ex 4) .75 Ex5) .05 = 75% Ex 6) 1.15 = 5% = 115%
Write the fraction as a percent. Round to the nearest tenth if needed Ex 7) = 62.5% Ex 8) = 33.3% prealgebrateachers.com