Converting 2.134 to a Fraction
In this article, we will learn how to convert the decimal number 2.134 to a fraction.
Understanding Decimals and Fractions
Before we dive into the conversion, let's quickly review what decimals and fractions are:
- Decimals: A decimal is a way of representing a number using a base-10 number system. It is a number that has a fractional part separated from the whole part by a decimal point.
- Fractions: A fraction is a way of representing a part of a whole. It is a number that has a numerator (the top number) and a denominator (the bottom number).
Converting 2.134 to a Fraction
To convert the decimal number 2.134 to a fraction, we need to follow these steps:
Step 1: Write the decimal number as a fraction with a denominator of 1
2.134 = 2134/1000
Step 2: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD)
The GCD of 2134 and 1000 is 2. So, we divide both numbers by 2:
2134 ÷ 2 = 1067 1000 ÷ 2 = 500
So, the simplified fraction is:
1067/500
The Final Answer
The decimal number 2.134 can be written in fraction form as:
1067/500
This is the final answer! We have successfully converted the decimal number 2.134 to a fraction.
