EQUIVALENT FRACTIONS AND DECIMALSMr. Caraba

Objectives

A. I will learn to: 1. Write fractions as decimals.

2. Write decimals as fractions.

3. Connect fractions and decimals to the real world using applications and problem solving.

Vocabulary

• TERMINATING DECIMALS• Decimals that come to an end are called TERMINATING DECIMALS• Examples:

• REPEATING DECIMALS• Decimals that have a repeating digit or pattern are called REPEATING DECIMALS• Examples:

Writing Fractions as Decimals

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

𝐴 ¿34

𝐵 ¿65

𝐶 ¿13

To convert a fraction to a decimal, divide the numerator by the denominator:

34=0.75

65=1.2

13=0.333…=0.3

Write Fractions as Decimals

• Write each fractions as a decimal:

𝐴 ¿25

𝐵 ¿725

𝐴 ¿25=2 ∙𝟐5 ∙𝟐

Write an equivalent fraction with denominator a POWER of TEN

¿410

=𝟎 .𝟒 𝐵 ¿725

=7 ∙𝟒25 ∙𝟒

¿28100

=𝟎 .𝟐𝟖

Quick CheckWrite Fractions as Decimals.

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2)

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¿𝟎 .𝟗

¿𝟔 .𝟒

¿𝟎 .𝟕𝟐

¿𝟎 .𝟖𝟖

¿𝟎 .𝟑𝟑𝟑…=𝟎 .𝟑

1

¿𝟎 .𝟔

¿𝟐 .𝟕𝟓

Writing Decimals as Fractions

Write each decimal as a fraction in simplest form.

A ¿ 0.036 B ¿1.28Use the place value of the last digit to the right of the decimal point as denominator and entire decimal part as numerator.

𝟎 .𝟎𝟑𝟔=361,000

36÷41,000÷4

=9250

𝟎 .𝟎𝟑𝟔=361,000

36÷41,000÷4

=9250

Quick CheckWrite Decimals as Fractions.

1)

2)

3)

4)

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7)

8)

¿𝟒𝟓

¿−𝟏𝟓

¿𝟗𝟐𝟎

¿𝟏

𝟏𝟎𝟎

¿𝟓𝟗

𝟏𝟎𝟎

¿𝟏𝟓𝟏𝟒

¿𝟖𝟑𝟖

Sports Application

During a football game, Albert completed 23 out of the 27 passes he attempted. Find his completion rate to the nearest thousandth.

• The fraction is 23 out of 27

• Using long division or a calculator: • 23 ÷ 27 = 0.8518518…..

• Rounded to nearest thousandth his completion rate is 0.852