Question

1/2 = 1/3 + P(B) - 1/10 simplify this equation i keep getting

11/15 but im not sure if thats correct.

Answer 1

To simplify the equation 1/2 = 1/3 + P(B) - 1/10, we start by finding a common denominator and combining the fractions. By isolating P(B), we find that it is equal to 13/30.

Step-by-step explanation:

To simplify the equation 1/2 = 1/3 + P(B) - 1/10, we need to find the value of P(B). Let's start by simplifying the right side of the equation. We can combine the fractions by finding a common denominator. The common denominator for 1/3 and 1/10 is 30. So, the equation becomes:

1/2 = (10/30) + P(B) - (3/30)

Now, we can substitute P(B) with a variable, let's say x. So, the equation becomes:

1/2 = (10/30) + x - (3/30)

Next, we simplify the equation by adding the fractions on the right side:

1/2 = (7/30) + x

To isolate x, we subtract (7/30) from both sides:

1/2 - 7/30 = (7/30) - 7/30 + x

After simplifying, we get:

13/30 = x

So, the simplified equation is P(B) = 13/30.