2 1 Equivalent Frac Dec

Equivalent Fractions and Decimals

Warm UpWrite each fraction in the simplest form.

1. 2.

3. 4.

1846

2163

10072

13

13

412

923

2518 or 1 7

18


Essential Question:How are fractions and decimals related?

Standard:

MCC7.NS.2d: Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.



Vocabulary

terminating decimalrepeating decimal


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.


Player Hits At Bats

Batting 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.




Write each fraction as a decimal. Round to the nearest hundredth, if necessary.

Additional Example 1: Writing 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


Examples for Notebook

1) ½

2) 9%

3) 0.65

4) 2 1/10



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

Copy the Green only





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


Classwork/Homework:

Worksheet

You may begin it now.

Documents

2 1 Equivalent Frac Dec