256 over 144 Simplified
In this article, we will simplify the fraction 256 over 144.
What is 256 over 144?
The fraction 256 over 144 is a way of expressing the ratio of 256 to 144. It can be written in a few different ways, including:
- 256/144
- 256 ÷ 144
- Two hundred fifty-six over one hundred forty-four
Simplifying the Fraction
To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator (256) and the denominator (144). The GCD is the largest number that both numbers can be divided by without leaving a remainder.
The GCD of 256 and 144 is 16. To find the GCD, we can list the factors of each number:
Factors of 256: 1, 2, 4, 8, 16, 32, 64, 128, 256 Factors of 144: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
As you can see, the largest number that appears in both lists is 16. Therefore, we can divide both the numerator and the denominator by 16 to simplify the fraction.
Simplified Fraction
After dividing both numbers by 16, we get:
256 ÷ 16 = 16 144 ÷ 16 = 9
So, the simplified fraction is:
16/9
This is the simplest form of the fraction 256 over 144.
