simplify the ratios with steps by steps;180:270
To simplify the ratio 180:270, we can find the greatest common divisor (GCD) of the two numbers and divide both numbers by this GCD.
Step 1: Find the GCD of 180 and 270.
The factors of 180 are: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180.
The factors of 270 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270.
The common factors are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.
The GCD is the highest common factor, which is 90.
Step 2: Divide both numbers by the GCD.
180 ÷ 90 = 2
270 ÷ 90 = 3
Therefore, the simplified ratio is 2:3.