CHANGE DECIMALS TO FRACTIONS

AND FRACTIONS TO DECIMALS

Objectives:Write decimals as fractions.Write fractions as decimals.

Decimal to Fraction

To change a decimal to a fraction, take the place value and reduce!

0.5 means 5 tenths, so 5/10.

Now reduce 5/10 = ½

0.5 = 1/2

Converting Fractions and DecimalsFraction Decimal

38

means 3 8

8 3.0000 3

2460

7

5640

5

400

0.375

To change a fraction to a decimal, take the top divided by the bottom, or numerator divided by the denominator.

Complete the table.Fraction Decimal

45 0.8

3100 0.03

720 0.35

7610 6.7

198

9.125

Repeating Decimals

Fraction Decimal13

means 1 3

3 1.0000 3

91 0

3

910

3

91

0.3...

0.33

Every rational number (fraction) either terminatesor repeats when written as a decimal.

Repeating Decimals

Fraction Decimal5

11

means 5 11

11 5.000000 4

4460

5

5550

4

44

0.454...

0.454

60555044

54

6

0.45

Repeating Decimals

Fraction Decimal56

means 5 6

6 5.0000 8

4820

3

1820

3

182

0.83...

0.833

0.83