Detailed Solutions to
Practice #8
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1.Express each of the following fractions
as decimals.
For each of these we do the traditional long division to convert
the fraction to decimal form. The long division for each is shown
below.
Item 1a:
|
Item
1b:
|
Item
1c:
 |
2. Express the following decimals
as fractions.
For each of these we must follow the steps for converting a decimal
to a fraction. This is done for items a, b, and c.
Item
2a:
- Read the numerical decimal, paying
close attention to the ending.
This decimal, .005, is 5 thousandths
- Place the number in the decimal, written
as a whole number, in the numerator of the fraction.
- Look at the ending of the decimal as
read in step 1. Take the 'ths' off the end and place the numeric
value of the number you have in the denominator.
|
The ending of our decimal is thousandths. This means we
need to place a 1,000 in the denominator. |
 |
- Simplify the fraction.
(NOTE:
if you need to review how to simplify fractions, you should review
Book I in this series.)
Item
2b: 
- Read the numerical decimal, paying
close attention to the ending.
This decimal, 36.5, is thirty-six and five tenths.
- Place the number in the decimal, written
as a whole number, in the numerator of the fraction.
- Look at the ending of the decimal as
read in step 1. Take the 'ths' off the end and place the numeric
value of the number you have in the denominator.
|
The ending of this decimal is tenths. This means we need
to place a 10 on the bottom of the fraction. |
 |
- Simplify the fraction.
Item
2c: 
- Read the numerical decimal, paying
close attention to the ending.
This decimal, .145, is one hundred forty-five thousandths.
- Place the number in the decimal, written
as a whole number, in the numerator of the fraction.
- Look at the ending of the decimal as
read in step 1. Take the 'ths' off the end and place the numeric
value of the number you have in the denominator.
|
The ending of this decimal is a thousandths. This means
we must place a 1,000 in the denominator. |
 |
- Simplify the fraction.
If you feel comfortable with this unit, then you can move on to
the next unit. If, after reviewing this section, you still feel uncomfortable with this material, you may need more help than is provided in this book. Contact your professor for additional resources
on this topic.
