how do I solve 1/3 x = 5/12
1/3 x = 5/12
Divide both sides of the equation by 1/3
x = 5/12 divided by 1/3
x = 5/12 * 3/1
x = 15/12 = 1 3/12 = 1 1/4
To solve the equation (1/3) * x = 5/12, you need to isolate the variable x on one side of the equation. Here's how you can do it step by step:
1. We have the equation (1/3) * x = 5/12. We want to isolate x, so we need to get rid of the fraction 1/3 by multiplying both sides of the equation by its reciprocal, which is 3/1 or simply 3.
(1/3) * x * (3/1) = 5/12 * 3/1
2. Simplify the equation by performing the multiplication on both sides:
(1/3) * x * (3/1) = (5/12) * (3/1)
x = 15/12
3. The fraction 15/12 can be simplified further by dividing the numerator and denominator by their greatest common divisor (GCD), which is 3. Divide both 15 and 12 by 3:
x = (15/3) / (12/3)
x = 5/4
So, the solution to the equation (1/3) * x = 5/12 is x = 5/4.