Simplifying the Fraction 54/84
Introduction
Fractions are an essential part of mathematics, and simplifying them is a crucial skill to master. In this article, we will explore how to simplify the fraction 54/84 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 further reduced or simplified. In other words, the numerator and denominator of the fraction have no common factors other than 1.
Simplifying 54/84
To simplify the fraction 54/84, we need to find the greatest common divisor (GCD) of 54 and 84.
The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, and 54.
The factors of 84 are: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84.
The greatest common divisor of 54 and 84 is 6.
Divide Both Numenator and Denominator by the GCD
Now, we can divide both the numerator and denominator of the fraction 54/84 by the GCD, which is 6.
54 ÷ 6 = 9 84 ÷ 6 = 14
The Simplified Fraction
Therefore, the simplified fraction of 54/84 is 9/14.
Conclusion
In conclusion, the fraction 54/84 in its simplest form is 9/14. Simplifying fractions is an important skill in mathematics, and it's essential to understand the process to simplify fractions to their simplest form.
By following the steps outlined above, you can simplify any fraction to its simplest form.
