Detailed Solutions to Practice #7

If you had difficulty with any of the items in this practice, read the detailed solutions given on this page. You can either scroll through all the solutions or select the specific one you wish to view.
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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, .96, is ninety-six hundredths.

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 hundredths. This means we need to place a 100 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, 1.55, is one and fifty-five hundredths.

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 hundredths. This means we need to place a 100 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, .0036, is thirty-six ten 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 ten thousandths. This means we must place a 10,000 in the denominator.

4. Simplify the fraction.

If you feel you need further review before trying the additional practice, reread this unit.