Warm Up Write each fraction in the simplest form. 1. 2. 3. 4.
-
Upload
veda-miles -
Category
Documents
-
view
49 -
download
1
description
Transcript of Warm Up Write each fraction in the simplest form. 1. 2. 3. 4.
2-10 Equivalent Fractions and Decimals
Warm UpWrite each fraction in the simplest form.
1. 2.
3. 4.
69
1248
525
12
14
48
23
15
2-10 Equivalent Fractions and Decimals
Simplest Form (Fractions) • A fraction is in simplest form when the top and
bottom cannot be any smaller (while still being whole numbers).
Example: 2/4 can be simplified to 1/2
To simplify a fraction, divide the top and bottom by the highest number that can divide into both numbers exactly.
2-10 Equivalent Fractions and Decimals
Rational Number• A rational number is a number that can
be written as a fraction with integers as the numerator and denominator.
• This includes fractions, regular counting numbers, negative numbers, terminating decimals and repeating decimals.
2-10 Equivalent Fractions and Decimals
In baseball, a player’s batting average compares the number of hits with the number of times the player has been at bat. The statistics on the next slide are for the 2006 Major League Baseball season.
2-10 Equivalent Fractions and Decimals
Player HitsAt
BatsBatting Average (thousandths)
Miguel Cabrera
Ichiro Suzuki
Hitsat Bats
195 ÷ 576 ≈ 0.339
224 ÷ 695 ≈ 0.322
195 576195576
224 695 224695
To convert a fraction to a decimal, divide the numerator by the denominator.
2-10 Equivalent Fractions and Decimals
Write each fraction as a decimal. Round to the nearest hundredth, if necessary.
Fractions as Decimals
A. 14
1.00 9.0 5.000
B. 95 C. 5
3
4 5 30.2
– 820
– 200
14 = 0.25
5 1
– 540
.8
– 400
95
= 1.8
1
– 3
20
.6
– 1820
– 18
6
20– 18
2
53 ≈ 1.67
6
2-10 Equivalent Fractions and Decimals
Check It Out: Example 1
Write each fraction as a decimal. Round to the nearest hundredth, if necessary.
A. 34
3.00 6.0 7.000
B. 65 C. 7
3
4 5 30.7
– 2 820
– 200
34 = 0.75
5 1
– 510
.2
– 100
65
= 1.2
2
– 6
10
.3
– 910– 9
3
10– 9
1
73 ≈ 2.33
3
2-10 Equivalent Fractions and Decimals
Write each fraction as a decimal.
Fractions as Decimals
A.
4 5
4 5
x 2 2
= 8 10
= 0.8
Multiply to get a power of ten in the denominator.
B.
37 50
37 50
x 2 2
= 74 100
= 0.74
Multiply to get a power of ten in the denominator.
2-10 Equivalent Fractions and Decimals
Write each fraction as a decimal.
Check It Out: Example 2
A.
3 5
3 5
x 2 2
= 6 10
= 0.6
Multiply to get a power of ten in the denominator.
B.
18 25
18 25
x 4 4
= 72 100
= 0.72
Multiply to get a power of ten in the denominator.
2-10 Equivalent Fractions and Decimals
The decimals 0.75 and 1.2 in Example 1 are terminating decimals because the decimals comes to an end.
The decimal 0.333…is a repeating decimal because the decimal repeats a pattern forever. You can also write a repeating decimal with a bar over the repeating part.
0.333… = 0.3
0.8333… = 0.83
0.727272… = 0.72
2-10 Equivalent Fractions and Decimals
Write each decimal as a fraction in simplest form.
Decimals as Fractions
A. 0.018 B. 1.55
0.018 = 181,000 1.55 =
155100
=18 ÷ 2
1,000 ÷ 2=155 ÷ 5
100 ÷ 5
=3120
or 1 1120=
9500
You read the decimal 0.018 as “eighteen thousandths.”
Reading Math
2-10 Equivalent Fractions and Decimals
Check It Out: Example 3
Write each decimal as a fraction in simplest form.
A. 0.015 B. 1.30
0.015 = 151,000 1.30 =130
100
= 15 ÷ 51,000 ÷ 5
= 130 ÷ 10100 ÷ 10
= 1310
or 1 310
= 3200
2-10 Equivalent Fractions and Decimals
Lesson Quiz
Write each fraction as a decimal.
1.
3. 4.
Write each decimal as a fraction in simplest form.
5. 0.42
7. If your soccer team wins 21 out of 30 games,
what is your team’s winning rate?
2.6253.2
2150
69 8
165 2.
218
6. 8.625
0.70
710
1120 0.550.7
5 8
or 8
2-10 Equivalent Fractions and Decimals
1. Which of the following represents the
fraction as a decimal?
A. 3.4
B. 3.5
C. 3.6
D. 3.7
Lesson Quiz for Student Response Systems
18 5
2-10 Equivalent Fractions and Decimals
2. Which of the following represents the
fraction as a decimal?
A. 0.65
B. 0.75
C. 0.85
D. 0.95
Lesson Quiz for Student Response Systems
13 20
2-10 Equivalent Fractions and Decimals
3. Which of the following represents the decimal 0.32 as a fraction in simplest form?
A. C.
B. D.
Lesson Quiz for Student Response Systems
8 25
7 25
6 25
1 5
2-10 Equivalent Fractions and Decimals
4. Which of the following represents the decimal 6.125 as a fraction in simplest form?
A. or 8 C. or 6
B. or 6 D. or 6
Lesson Quiz for Student Response Systems
49 6
49 8
37 6
31 5
1 6
1 8
1 6
1 5
2-10 Equivalent Fractions and Decimals
5. If Rita scores 34 out of 50 in a class test, what is Rita’s scoring rate?
A. 0.65
B. 0.66
C. 0.67
D. 0.68
Lesson Quiz for Student Response Systems