Solution:

Example: Convert 2 5/16 to a decimal.

Solution:

Example: Convert 3 5/6 to a decimal.

Solution: Since the denominator 6 is not made up of

Hence, -25/11 =2.27.

just 2s or just 5s or both, we will have to divide 6 into 5 to

obtain a repeating decimal and then add 3 to our answer.

You may find it of interest to know that if the

denominator of a common fraction reduced to lowest

terms is made up of prime factors of just 2s or just 5s or

both, the fraction can be converted to an exact or

terminating decimal.

Another way to convert a fraction to a decimal is to

express the fraction as an equivalent fraction whose

denominator is a multiple of 10, such as 10, 100, 1000.

Then, change the fraction to adecimal. You will always

get a terminating decimal with this method.

Example: Convert 3/4 to a decimal.

Therefore, 3 5/6 = 3.83.

Solution:

Example: Convert -61 13/15 to a decimal.

Solution:

Example: Convert -47/200 to a decimal.

Solution:

Example: Convert -11/8 to a decimal.

Solution:

Therefore, -61 13/15 = -61.86.

Example: Convert 102/25 to a decimal.

We could also convert a fraction to a decimal to a

Solution:

particular decimal place.

Example: Convert 25/16 to a decimal to the nearest

tenth.

In the two previous examples, the fractions could

Solution:

have been expressed as mixed numbers and then

converted to decimals. To convert a mixed number to

a decimal, leave the integer portion as it is and convert

the fractional portion to a decimal.

So, 25/16 = 1.6 to the nearest tenth.

Example: Convert -15 2/5 to a decimal.

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