Simplifying 128/360
When it comes to simplifying fractions, there are a few steps we need to follow to get the simplest form. In this article, we will walk through the process of simplifying the fraction 128/360.
Step 1: Find the Greatest Common Divisor (GCD)
The first step in simplifying a fraction is to find the Greatest Common Divisor (GCD) of the numerator (128) and the denominator (360). To do this, we need to list the factors of each number:
Factors of 128: 1, 2, 4, 8, 16, 32, 64, 128 Factors of 360: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
GCD of 128 and 360: 8
Step 2: Divide Both Numerator and Denominator by the GCD
Now that we have found the GCD, we can divide both the numerator and the denominator by 8:
New Numerator: 128 ÷ 8 = 16 New Denominator: 360 ÷ 8 = 45
Simplified Fraction: 16/45
And there you have it! The simplified fraction of 128/360 is 16/45.
