How to simplify this ratio
(1/2):(1/3)
To simplify the given ratio (1/2):(1/3), we can follow these steps:
Step 1: Write the ratio with a common denominator.
1/2:(1/3) becomes 3/6:2/6
Step 2: Divide both terms of the ratio by their greatest common divisor (GCD).
In this case, the GCD of 3 and 2 is 1. So, divide both terms by 1.
3/6 ÷ 1 = 3/6
2/6 ÷ 1 = 2/6
Step 3: Simplify the fraction.
Since the numerator and denominator have a common factor of 3, we can further simplify the fraction by dividing both numerator and denominator by 3.
3/6 ÷ 3 = 1/2
2/6 ÷ 3 = 2/18
Thus, the simplified ratio of (1/2):(1/3) is 1:2/3.