To reduce 144/180 to its lowest form, you need to find the greatest common divisor (GCD) of the numerator (144) and the denominator (180), which is the largest number that divides both of them evenly.
Here's a step-by-step guide on how to simplify 144/180:
1. Find the GCD of 144 and 180:
- The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144.
- The factors of 180 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180.
2. The common factors of 144 and 180 are 1, 2, 3, 4, 6, 9, 12, and 18. The largest common factor is 36.
3. Divide both the numerator and denominator by the GCD (36):
- 144 ÷ 36 = 4
- 180 ÷ 36 = 5
Therefore, 144/180 simplifies to 4/5 when reduced to its lowest form.
