The following are examples of mixed decimals, their

equivalent mixed numbers, and how they are read:

A decimal is any number written with a decimal

point, which includes decimal fractions and mixed

decimals. For the rest of the manual, we will refer to

decimal fractions and mixed decimals as decimals.

Therefore, -7/32 = -0.21875.

From our study of fractions, it should be clear that

Example: Convert 51/8 to a decimal.

Solution:

Writing the same values as decimals would be

equivalent to

0.5 = 0.50 = 0.500

In other words, the value of a decimal is not

changed by attaching zeros to the right of any decimal

point after the last digit.

One way to convert a fraction to a decimal is to

Hence, 51/8 = 6.375.

divide the numerator by the denominator. To obtain our

The answers in the examples just covered were all

answer, we will attach as many zeros after the

considered terminating decimals since each quotient

understood decimal point in the numerator as needed,

terminated or ended. A repeating decimal will have a

since we have determined this will not change the value

repeating pattern and never terminate.

of our numerator.

Example: Convert l/3 to a decimal.

Example: Convert 3/5 to a decimal.

Solution:

Solution:

So the answer is 3/5 = 0.6. Notice that the decimal point

in the quotient was placed directly above the decimal

As you can see, there is a repeating pattern of 3. We

point of the number we are dividing into.

will represent the repeating digits with a bar over the

Example: Convert -7/32 to a decimal

repeating pattern. Therefore, l/3 = 0.3.

Solution:

Example: Convert -25/11 to a decimal.

Solution:

14-3

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