Converting 140/126 to a Simplified Fraction
In this article, we will learn how to convert the decimal number 140/126 to a simplified fraction.
What is a Fraction?
A fraction is a way to express a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number). For example, in the fraction 3/4, the numerator is 3 and the denominator is 4.
Converting 140/126 to a Fraction
To convert 140/126 to a fraction, we need to find the greatest common divisor (GCD) of 140 and 126.
Finding the GCD of 140 and 126
To find the GCD of 140 and 126, we can use the following steps:
Step 1: List the factors of 140
The factors of 140 are: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Step 2: List the factors of 126
The factors of 126 are: 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 63, 126
Step 3: Find the common factors
The common factors of 140 and 126 are: 1, 2, 7, 14
Step 4: Find the greatest common divisor
The greatest common divisor of 140 and 126 is 14.
Simplifying the Fraction
Now that we have found the GCD, we can simplify the fraction 140/126 by dividing both the numerator and the denominator by 14.
140 ÷ 14 = 10 126 ÷ 14 = 9
Therefore, the simplified fraction is:
10/9
In conclusion, the decimal number 140/126 can be converted to a simplified fraction, which is 10/9.
