Simplifying the Fraction 14/84
In this article, we will explore how to simplify the fraction 14/84 to its simplest form.
What is a Fraction in Simplest Form?
A fraction is said to be in its simplest form if it cannot be simplified further. In other words, a fraction is in its simplest form if the greatest common divisor (GCD) of the numerator and the denominator is 1.
Simplifying 14/84
To simplify the fraction 14/84, we need to find the greatest common divisor (GCD) of 14 and 84.
The factors of 14 are: 1, 2, 7, and 14 The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84
The greatest common divisor of 14 and 84 is 14. Therefore, we can divide both the numerator and the denominator by 14 to get:
14 ÷ 14 = 1 84 ÷ 14 = 6
So, the simplified form of the fraction 14/84 is:
1/6
Conclusion
In conclusion, the fraction 14/84 can be simplified to its simplest form, which is 1/6. This is achieved by finding the greatest common divisor of the numerator and the denominator and dividing both by that number.