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:

1. Read the numerical decimal, paying close attention to the ending.
This decimal, .005, is 5 thousandths

2. Place the number in the decimal, written as a whole number, in the numerator of the fraction.

3. 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.

4. Simplify the fraction.
(NOTE: if you need to review how to simplify fractions, you should review Book I in this series.)

Item 2b:

1. Read the numerical decimal, paying close attention to the ending.
This decimal, 36.5, is thirty-six and five tenths.

2. Place the number in the decimal, written as a whole number, in the numerator of the fraction.

3. 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.

4. Simplify the fraction.

Item 2c:

1. Read the numerical decimal, paying close attention to the ending.
This decimal, .145, is one hundred forty-five thousandths.

2. Place the number in the decimal, written as a whole number, in the numerator of the fraction.

3. 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.

4. 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.