9-16th grade math

Relating Fractions, Decimals,

and Percents

Objective

• To convert a percent to a fraction or decimal and convert a fraction or a decimal to a percent.

• Why? To know how to relate numbers and integers in different ways that will help you to solve problems easier.

California State Standards NS 1.2 (Gr 5): Interpret percents as part of a

hundred: find decimal and percent equivalents for common fractions and explain why they represent the same value.

Vocabulary• Percent– A special ratio that compares a number with 100• Percent = “each hundred”• % = 1 0 0

– 100% = all work is used (1/1 or 100/100 or 5/5, etc.)

How to Change Fractions to Decimals to Percents (and any other way)

1)To convert a fraction to a decimal ... Divide2) To convert a decimal to a percent … move

the decimal 2 spaces to the right. Think of it as moving the decimal point into the % spot.

3) To convert a percent to a fraction … convert % back to a fraction and use place value. Reduce.

4) To convert a decimal to a fraction … use place value and reduce.

5) To convert a fraction to a percent … convert to a decimal then to a percent- moving the decimal two places to the right and place the % symbol.

6) To convert a percent to a decimal … move the % 2 spaces to the left and replace the % symbol with a decimal point (.)

1) ¾ = .75

2) .75 = 75%

3) 75% = 75/100 = ¾

4) .75 = 75/100 = ¾

5) ¾ = .75 = 75%

Try It!

Complete each table.

12

34

Fraction Decimal Percent

15%

3.15

Fraction Decimal percent

8/5

2.7%

Fraction Decimal Percent

15/100 = 3/20 .15 15%

3 15/100 = 3 3/20

3.15 31.5%

Fraction Decimal Percent

8/5 1.60 160%

2 7/10 2 .7 2.7%

Objective Review • To convert a percent to a

fraction or decimal and convert a fraction or a decimal to a percent.

• Why? You now know how to relate numbers and integers in different ways that will help you to solve problems easier.

• Both a fraction and decimal can be written as a percent, and a percent can be written as a decimal or as a fraction.

Independent Practice

• Complete problems 6-13

• Copy original problem first.

• Show all work!

• If time, complete Mixed Review: 14-18

• If still more time, work on Accelerated Math.