Author: Kathy Halverson
Last saved by: MHE
Company: Halverson Household

Lesson 5-1

Example 1	Write a Fraction as a Terminating Decimal
Write  as a decimal.
Method 1	Use paper and pencil.		
8					
  - 4 8      					    

Division ends when the remainder is 0.

       20
      -16
         40
        -40 
           0     	  
0.625 is a terminating decimal.

Method 2	Use a calculator.
5 ÷  8  ENTER  0.625           
       = 0.625

Example 2	Write a Mixed Number as a Decimal
Write 6 as a decimal.
6 = 6 + 		Write as the sum of an integer and a fraction.
       = 6 + 0.75		3/4= 0.75
       = 6.75		Add.

Example 3	Write Fractions as Repeating Decimals
Write each fraction as a decimal.  Use a bar to show a repeating decimal.
a.  
 → 9		The digit 5 repeats.
So,  = 0..

b.  -
- → 11 	The digits 18 repeat.
So, -  = -0..

Real-World EXAMPLE
Example 4	Write Fractions as Decimals
BASKTBALL   Megan Duffy, of the Notre Dame Women’s Basketball team, made 118 of 132 free throws in 2005.  To the nearest thousandth, what part of the time did she make free throws?

Divide the number free throws she made, 118, by the number of free throws she attempted, 132.
		= ≈ 0.89393939… or 0.8
Look at the digit to the right of the thousandths place.  Round up since 9 > 5.

Megan Duffy made free throws 0.894 of the time.

Example 5	Compare Fractions and Decimals
Replace each  with <, >, or = to make a true sentence.
a.    0.6
    0.6		Write the sentence.  
0.  0.6		Write 2/3as a decimal.
0.6 > 0.60	In the hundredths place, 6 > 0.

On a number line 0. is to the right of 0.6, so > 0.6.

b.  3/8 2/9  
Write the fractions as decimals and then compare the decimals.
= 0.375	= 0.

On a number line 0.375 is to the right of 0., so 0.375 is greater than 0..  The inequality is > .

Real-World EXAMPLE
Example 6	Compare Fractions to Solve a Problem
MUSIC   In a survey of students, of the boys and  of the girls play a musical instrument.  Of those surveyed, do a greater fraction of boys or girls play a musical instrument?

Write the fractions as decimals and then compare the decimals.
boys:   = 0.55                 
girls:    = 0.56
Since, 0.56 > 0.55, . So, a greater fraction of girls play a musical instrument.