Percents and Fractions

Percent A ratio that compares a number to 100. It represents part of a whole. The word “percent” means “per hundred.” The symbol for percent is %.

Whole Number Percents If the percent is a whole number, drop the percent sign and put the whole number over the denominator 100. Simplify. Example: 45% = 125% =

What PERCENT does this represent?

What PERCENT does this represent?

What PERCENT does this represent?

Whole Number Percents To write a percent as a fraction, put the percent over 100, then simplify.

Write the percent, then change it to a fraction.

Write the percent, then change it to a fraction.

Write the percent, then change it to a fraction.

Percents With Decimals If the percent is a decimal, drop the percent sign and move the decimal two places to the left. Then change decimal to a fraction and simplify. Ex. 12.5% = 0.125 = 125= 1 1000 8

Marker Boards Convert the following percents to fractions. 55% = 40% = 150% = 33% = 1.5% = 33.3% = 10% = 0.12% =

Converting Fractions to Percents: To write a fraction as a percent, find an equivalent ratio with 100 as a denominator. Example: 4 = 80 = 80% 5 100

Sometimes you will have to REDUCE a fraction BEFORE you can find an equivalent ratio with a denominator of 100. Example: 6 = 3 = 75 = 75% 8 4 100

Change the fraction to a percent. 10 20

Change the fraction to a percent.

Change the fraction to a percent.

Change the fraction to a percent.

Change the fraction to a percent Change the fraction to a percent. If there is no equivalent ratio with a denominator of 100, change the fraction to a decimal, then to a percent. First, change the fraction to a decimal. Divide the denominator into the numerator. 4÷7=0.571 Move the decimal two places to the right and add the percent sign. 57.1%

Change the fraction to a percent.

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