Bridges Between Fractions, Decimals, and Percentages

Objectives: 1.) Change a FRACTION to a decimal or

percentage whenever you want to.2.) Change a DECIMAL to a fraction or a

percentage whenever you want to.3.) Change a PERCENTAGE to a decimal or a

fraction whenever you want to.

Recall

• Whole- 1When the parts included is the same as the amount of pieces the whole is divided into.

When the numerator is the same as the denominator.

Changing a fraction to a decimal

• A test score is .

– Did you get the whole thing? 100%?

50

1

No. What is the decimal?

Area between 0 and 1

FRACTIONS are quotients; DIVISON

• To change FRACTIONS to decimals, divide..

1

50

TOP DOG IN THE HOUSE

FRACTIONS to DECIMALS to PERCENTS

• To change FRACTIONS to PERCENTS– Change to a decimal and shift the decimal two to

the right. – Why?

Consider 501

Fraction Decimal Percent

.02 50

1 022%

More Examples

98

24

5

1

Fraction Decimal Percentage

20

18

DECIMALS to FRACTIONS

• To change DECIMALS to FRACTIONS, read it and SIMPLIFY.

• To change DECIMALS to PERCENTS, shift the decimal point two spots to the right.

Decimal Fraction Percent

. 02

.001 1.25 2.05

More Examples

Decimals Fractions Percentage

PERCENTS to decimals

Percents Decimal Fractions

2.5 %

To change PERCENTS to DECIMALS, shift to the left two spots.

To change PERCENTS to FRACTIONS, put over one-hundred and SIMPLIFY

18% 2.5% 4.8%

More Examples

Percents Decimals Fractions

Summary• To change FRACTIONS to decimals, divide..• To change FRACTIONS to PERCENTS– Change to a decimal and shift the decimal two to the right.

• To change DECIMALS to FRACTIONS, read it and SIMPLIFY.

• To change DECIMALS to PERCENTS, shift the decimal point two spots to the right.

• To change PERCENTS to DECIMALS, shift to the left two spots.

• To change PERCENTS to FRACTIONS, put over one-hundred and SIMPLIFY