ConversionConversionss

ConversionConversionss

Decimals to Fractions

and

Fractions to Decimals

What are we What are we learning?learning?

In this lesson you will learn how to convert

decimals to decimals to fractionsfractions

and

fractions to fractions to decimalsdecimals

How to Convert How to Convert Decimals to Decimals to FractionsFractions

Use the place value of the last digit in the number to determine what the denominator of the fraction will be.

How to Convert How to Convert Decimals Decimals

to Fractionsto Fractions.24

How to Convert How to Convert Decimals to Decimals to FractionsFractions

.5The 5 is in the tenths place

10

5

How to Convert How to Convert Decimals to Decimals to FractionsFractions

.84The 4 is in the hundredths place10

0

84

What if there is a What if there is a whole number whole number

before the decimal before the decimal point?point?1.589

The 9 is in the thousandths place

10005891

25.5 The 5 is in the

tenths place

10

525

What if there is a What if there is a whole number before whole number before

the decimalthe decimal point?point?

How to Convert Fractions to How to Convert Fractions to DecimalsDecimals

10023 This is the hundredths

place so the 3 needs to be in the hundredths place.

2 3

.23

How to Convert Fractions to How to Convert Fractions to DecimalsDecimals

1000

567 This is the thousandths place so the 7 needs to be in the thousandths place.

5 6

.567

7

How to Convert Fractions to How to Convert Fractions to DecimalsDecimals

10004 This is the

thousandths place so the 4 needs to be in the thousandths place.

0 0

.004

4

How to Convert Fractions How to Convert Fractions to Decimalsto Decimals

102 This is the tenths place

so the 2 needs to be in the tenths place.

2

.2

What if there is a What if there is a whole number whole number

before the fraction?before the fraction?

1000567 This is the

thousandths place so the 7 needs to be in the thousandths place.

5 6

3.567

7

3

3

How to Convert Fractions to DecimalsHow to Convert Fractions to Decimals

100034

24.034

24This is the thousandths place so the 4 needs to be in the thousandths place.

Suppose You Suppose You Can’t Use A Can’t Use A

Denominator of Denominator of 10?10?

65 DivideDivide

the

NumeratorNumeratorby the

DenominatorDenominator

Suppose You Can’t Use Suppose You Can’t Use A Denominator of 10?A Denominator of 10?

65

6 5.0.8

4 82

0

0

3

182

.83

Suppose You Can’t Use A Suppose You Can’t Use A Denominator of 10?Denominator of 10?

32

3 2.0.6

1 82.6

Try Some . . .check with a calculatorTry Some . . .check with a calculator

87

505

106

43

1612 40

3

Try some and don’t forget Try some and don’t forget to simplify!to simplify!

.35 .25 .95

.6 .875 .125