Lesson 3-5
Objective - To convert fractions, decimals and
mixed numbers.
Converting Fractions to Decimals
Fraction
Verbal Form
Fraction Form
Decimal Form
One-fourth
1
4
0.25
1
5
1.2
One and one-fifth
1
1
8
means 1 ÷ 8
Repeating Decimals
Fraction
0 333...
3 1.000
9
10
9
10
9
1
1
3
means 1 ÷ 3
Decimal
0.3
0.33
Repeating Decimals
1
6
means 1 ÷ 6
0 166...
6 1.000
6
40
36
40
36
4
Decimal
0.125
Repeating Decimals
Fraction
3
11
means 3 ÷ 11
Every fraction either terminates or repeats
when written as a decimal.
Fraction
0 125
8 1.000
8
20
16
40
40
0
Decimal
0.16
0.166
0.16
0 272 72 ...
11 3.00000
22
80
77
30
22
80
77
30
22
8
Decimal
0.272
0.272
0.27
Approximating a Fraction by a Decimal
Fraction
Decimal
1
7
means 1 ÷ 7
0 14 28 ...
7 1.0000
7
30
28
20
14
60
56
4
≈ 0.143
Math 6 Slide Show: Teaching Made Easy As Pi, by Mike Mills and James Wenk © 2011
Lesson 3-5 (cont.)
Converting Decimals to Fractions
Decimal
2.3
Just read it correctly!
Two and three-tenths
0.14
Fourteen hundredths
2.04
Two and fourhundredths
Fraction
23
10
14 ÷2 = 7
100 ÷2 50
÷4
2 4
=2 1
100 ÷4
25
Complete the table.
Fraction
2
5
11
100
3
20
23
10
3
3
8
Decimal
0.4
0.11
0.15
2.3
3.375
Math 6 Slide Show: Teaching Made Easy As Pi, by Mike Mills and James Wenk © 2011