Simplifying Fractions: 144/250
In this article, we will learn how to simplify the fraction 144/250. Simplifying fractions is an essential concept in mathematics, and it involves reducing a fraction to its simplest form.
What is Simplifying Fractions?
Simplifying fractions means reducing a fraction to its simplest form by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD is the largest number that can divide both the numerator and the denominator without leaving a remainder.
How to Simplify 144/250
To simplify the fraction 144/250, we need to find the GCD of 144 and 250.
Step 1: Find the Factors of 144 and 250
The factors of 144 are: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
The factors of 250 are: 1, 2, 5, 10, 25, 50, 125, 250
Step 2: Find the Greatest Common Divisor (GCD)
The GCD of 144 and 250 is 2.
Step 3: Simplify the Fraction
To simplify the fraction, divide both the numerator and the denominator by the GCD:
144 ÷ 2 = 72 250 ÷ 2 = 125
So, the simplified fraction is:
72/125
Conclusion
In conclusion, the simplified form of the fraction 144/250 is 72/125. Simplifying fractions is an essential skill in mathematics, and it can be applied in various mathematical operations and real-world applications.
I hope this article has helped you understand how to simplify fractions and specifically how to simplify the fraction 144/250.