"Published in Newark, California, USA"
Express 0. 0125 into its equivalent fraction.
Solution:
The above decimal is known as a common decimal or terminating decimal. Terminating decimal means that the decimal digits are not repeating endlessly and there's an end in division if you divide the numerator by the denominator by manual division. If the denominator is a factor of 2, 5, and 10, then the quotient is a terminating decimal. On the other hand, if the denominator is not a factor of 2, 5, and 10, then the quotient is a repeating decimal. On December 4, 2012, we discussed about the conversion of a repeating decimal into a fraction.
How do you convert a terminating decimal into a fraction? Well, let's consider this procedure and solution
Let x = 0.0125
10,000 x = 125
(We multiply both sides of the equation by 10,000 because we want the right side of the equation to move the decimal point to the right. One decimal movement is equivalent to a power of 10. If you move a decimal position to the right, then you multiply a number by 10. If you move two decimal position to the right, then you multiply a number by 100, and so on.)
Divide both sides by 10,000
As a rule in Mathematics that all fractions must be simplified into a lowest term. Factor 125 and 10,000 as follows
Cancel three 5's as their Greatest Common Factor (GCF) in a fraction
Therefore, the answer is
