0.157 is Equivalent to What Fraction?
When dealing with decimal numbers, it's often necessary to convert them to fractions. In this article, we'll explore how to convert the decimal number 0.157 to a fraction.
Converting 0.157 to a Fraction
To convert a decimal number to a fraction, we need to divide the decimal part by the appropriate power of 10. In this case, we have three decimal places, so we'll divide by 1000.
Step 1: Divide by 1000
0.157 ÷ 1000 = 157/1000
Step 2: Simplify the Fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of 157 and 1000.
The GCD of 157 and 1000 is 1, so we can't simplify the fraction further.
Result
Therefore, 0.157 is equivalent to the fraction:
157/1000
This is the simplest form of the fraction.
Conclusion
In this article, we've shown how to convert the decimal number 0.157 to a fraction. By dividing by the appropriate power of 10 and simplifying the fraction, we arrived at the equivalent fraction 157/1000.