Find the value of b in the calculation below.

Question

b/8 - 2/6 = 13/24

Answer 1

To solve for b, we need to isolate the variable on one side of the equation by performing arithmetic operations on both sides of the equation to eliminate the constants.

First, we need to find a common denominator for 8, 6, and 24.

The least common multiple of 8, 6, and 24 is 24. So we need to multiply each term on both sides of the equation by the appropriate factor to get a common denominator of 24.

b/8 - 2/6 = 13/24

Multiplying both sides by 24 gives:

3b - 8 = 13

Adding 8 to both sides yields:

3b = 21

Dividing both sides by 3 gives:

b = 7

Therefore, the value of b is 7.