Converting 0.157 to a Fraction
In this article, we will explore how to convert the decimal number 0.157 to a fraction.
What is a Fraction?
A fraction is a way to express a part of a whole as a ratio of two numbers. The top number, called the numerator, tells us how many equal parts we have, and the bottom number, called the denominator, tells us how many parts the whole is divided into.
Converting 0.157 to a Fraction
To convert 0.157 to a fraction, we can divide the numerator by the denominator. But what are the numerator and denominator?
Finding the Numerator and Denominator
To find the numerator and denominator, we can use the following steps:
- Multiply the decimal by a power of 10: Multiply 0.157 by 1000 to get 157.
- Find the greatest common divisor (GCD): Find the GCD of 157 and 1000. The GCD is 1.
- Simplify the fraction: Divide both the numerator and denominator by the GCD.
The Result
Using the steps above, we get:
0.157 = 157/1000
This is the fraction equivalent of the decimal 0.157.
Simplifying the Fraction (Optional)
We can simplify the fraction further by dividing both the numerator and denominator by their greatest common divisor.
157 ÷ 157 = 1 1000 ÷ 157 = 6 with a remainder of 82
So, the simplified fraction is:
0.157 = 157/1000 = 1/6.35
And that's it! We have successfully converted the decimal 0.157 to a fraction.
