This module is from Fundamentals of Mathematics by Denny Burzynski and Wade Ellis, Jr. This module discusses how to convert a fraction to a decimal. By the end of the module students should be able to convert a fraction to a decimal.
Now that we have studied and practiced dividing with decimals, we are also able to convert a fraction to a decimal. To do so we need only recall that a fraction bar can also be a division symbol. Thus,
not only means "3 objects out of 4," but can also mean "3 divided by 4."
Sample set a
Convert the following fractions to decimals. If the division is nonterminating, round to two decimal places.
. Divide 5 by 6.
We are to round to two decimal places.
Thus,
to two decimal places.
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. Note that
.
Convert
to a decimal.
Thus,
.
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. This is a complex decimal.
Note that the 6 is in the hundredths position.
The number
is read as "sixteen and one-fourth hundredths."
Now, convert
to a decimal.
Thus,
.
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Practice set a
Convert the following fractions and complex decimals to decimals (in which no proper fractions appear). If the divison is nonterminating, round to two decimal places.
Exercises
For the following 30 problems, convert each fraction or complex decimal number to a decimal (in which no proper fractions appear).
For the following 18 problems, convert each fraction to a decimal. Round to five decimal places.
Calculator problems
For the following problems, use a calculator to convert each fraction to a decimal. If no repeating pattern seems to exist, round to four decimal places.
Exercises for review