.625 as a Fraction in Lowest Terms
Introduction
When working with decimals, it's often necessary to convert them to fractions in order to perform mathematical operations or simplify calculations. In this article, we'll explore how to convert the decimal .625 to a fraction in its lowest terms.
Converting .625 to a Fraction
To convert .625 to a fraction, we can follow these steps:
- Divide .625 by 1, which gives us:
.625 ÷ 1 = .625
- Multiply both the numerator and denominator by 1000 (since there are three decimal places):
(.625 × 1000) / (1 × 1000) = 625 / 1000
- Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 125 in this case:
(625 ÷ 125) / (1000 ÷ 125) = 5 / 8
Result
Therefore, the decimal .625 converted to a fraction in its lowest terms is:
5/8
This fraction is in its lowest terms because the GCD of 5 and 8 is 1, meaning they have no common factors other than 1.
Conclusion
In conclusion, converting decimals to fractions can be a useful skill in mathematics, and by following the steps outlined above, we can convert .625 to a fraction in its lowest terms, which is 5/8.
