0.125 as a Fraction: Simplified Form and Equivalent Ratios
Introduction
In mathematics, converting decimal numbers to fractions is an essential skill. In this article, we will explore how to convert 0.125 to a fraction, simplify it, and find equivalent ratios.
Converting 0.125 to a Fraction
To convert 0.125 to a fraction, we can use the following steps:
- Write the decimal number as a fraction with a denominator of 1000 (since there are three decimal places): 0.125 = 125/1000
- Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 125 in this case: 125 ÷ 125 = 1, 1000 ÷ 125 = 8
- The simplified fraction is: 1/8
Therefore, 0.125 as a fraction is equal to 1/8.
Equivalent Ratios
Equivalent ratios are fractions that have the same value but different numerals. Here are a few equivalent ratios for 1/8:
- 2/16: Multiply both the numerator and denominator of 1/8 by 2
- 3/24: Multiply both the numerator and denominator of 1/8 by 3
- 4/32: Multiply both the numerator and denominator of 1/8 by 4
These equivalent ratios can be useful in various mathematical operations, such as adding or comparing fractions.
Conclusion
In conclusion, 0.125 as a fraction is equal to 1/8, and we can find equivalent ratios by multiplying or dividing both the numerator and denominator by the same factor. This skill is essential in mathematics and can be applied to various problems and calculations.
