Convert Fractions to Decimals
A fraction can be converted to a decimal using long division. For a negative fraction, use properties of arithmetic before converting the fraction.
Example 1:
Convert the following fraction to a decimal.
Solution:
Use properties of arithmetic before converting the fraction.
)
To convert a fraction to a decimal, divide the numerator by the denominator.
Since the fraction was negative, the decimal is also negative.
\ =\ -\left(0.6\right))
Using the properties of arithmetic, the following is true.
\ =\ -0.6)
So, the decimal form of the fraction is -0.6.
Example 2:
Convert the following fraction to a decimal.
Solution:
To convert a fraction to a decimal, divide the numerator by the denominator.
Notice that the digits 3 and 6 are repeating in the quotient. So, the number is written as follows.
So, the decimal form of the fraction is 0.36.
Example 3:
Convert the following fraction to a decimal.
Solution:
To convert a fraction to a decimal, divide the numerator by the denominator.
So, the decimal form of the fraction is 1.75.
