Example: Convert 2 5/16 to a decimal.
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
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.
Example: Convert -61 13/15 to a decimal.
Example: Convert -47/200 to a decimal.
Example: Convert -11/8 to a decimal.
Therefore, -61 13/15 = -61.86.
Example: Convert 102/25 to a decimal.
We could also convert a fraction to a decimal to a
particular decimal place.
Example: Convert 25/16 to a decimal to the nearest
In the two previous examples, the fractions could
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.