Transcript
Page 1: 3-5Converting Decimals to Fractions Decimal Fraction 2.3 Just read it correctly! Two and three-tenths 2 3 10 14 2 7 0.14 2.04 Fourteen hundredths Two and four-hundredths 100 ÷ ÷2

Objective - To convert fractions, decimals and mixed numbers.

1 0.25

Verbal Form Fraction Form Decimal Form

One-fourth 4

11

51.2One and one-fifth

Converting Fractions to Decimals

Fraction Decimal18

means 1÷ 8

8 1.0000 1

820

2 50.125

16

40400

0.33

Repeating DecimalsFraction Decimal

13

means 1 3÷

3 1.0000 3

910

3

9

3...0.3

1091

Every fraction either terminates or repeats when written as a decimal.

0.272

0.272

Repeating DecimalsFraction Decimal

311

means 3 ÷ 11

11 3.000000 2

2280

7

77

2 ... 7 2

3 0 22

80 77 30 22 8

0.27

0.166

0.16

Repeating DecimalsFraction Decimal

16

means 1÷ 6 6 1.000

0 1

6 40

6

36

6 ...

40 36 4

0.16

Approximating a Fraction by a DecimalFraction Decimal

17

means 1÷ 7

7 1.00000 1

730

4

28

2 ... 80.143≈

2014 60 56 4

Lesson 3-5

Math 6 Slide Show: Teaching Made Easy As Pi, by Mike Mills and James Wenk © 2011

Page 2: 3-5Converting Decimals to Fractions Decimal Fraction 2.3 Just read it correctly! Two and three-tenths 2 3 10 14 2 7 0.14 2.04 Fourteen hundredths Two and four-hundredths 100 ÷ ÷2

Converting Decimals to Fractions

Decimal Fraction

2.3

Just read it correctly!

Two and three-tenths 3210

14 2 7 0.14

2.04

Fourteen hundredths

Two and four-hundredths

14100

2÷2÷

750=

421004÷4÷

12 25=

Complete the table.Fraction Decimal

25

0.11

0.4

11100

320

2.3

338

0.15

3210

3.375

Lesson 3-5 (cont.)

Math 6 Slide Show: Teaching Made Easy As Pi, by Mike Mills and James Wenk © 2011


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