3-5Converting Decimals to Fractions Decimal Fraction 2.3 Just read it correctly! Two and...

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Objective - To convert fractions, decimals and mixed numbers. 1 0.25 Verbal Form Fraction Form Decimal Form One-fourth 4 1 1 5 1.2 One and one-fifth Converting Fractions to Decimals Fraction Decimal 1 8 means 1 ÷ 8 8 1.000 0 1 8 20 25 0.125 16 40 40 0 0.33 Repeating Decimals Fraction Decimal 1 3 means 1 3 ÷ 3 1.000 0 3 9 1 0 3 9 3 ... 0.3 1 0 9 1 Every fraction either terminates or repeats when written as a decimal. 0.272 0.272 Repeating Decimals Fraction Decimal 3 11 means 3 ÷ 11 11 3.00000 0 2 22 80 7 77 2 ... 72 3 0 22 80 77 30 22 8 0.27 0.166 0.16 Repeating Decimals Fraction Decimal 1 6 means 1 ÷ 6 6 1.000 0 1 6 40 6 36 6... 40 36 4 0.16 Approximating a Fraction by a Decimal Fraction Decimal 1 7 means 1 ÷ 7 7 1.0000 0 1 7 3 0 4 28 2 ... 8 0.143 20 14 60 56 4 Lesson 3-5 Math 6 Slide Show: Teaching Made Easy As Pi, by Mike Mills and James Wenk © 2011

Transcript of 3-5Converting Decimals to Fractions Decimal Fraction 2.3 Just read it correctly! Two and...

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