Final answer:
The student's mathematics question involves solving for the variable 'b' in a rational equation. By finding a common denominator and combining like terms, we determine that b equals 5/3.
Step-by-step explanation:
We are given the equation 7/6b + 11/4b = 235/72 and need to solve for b. To do this, we first need to find a common denominator for the fractions on the left side of the equation. The common denominator for 6b and 4b is 12b. Multiplying both sides of the original equation by 12b to eliminate the denominators gives us:
14b + 33b = 470b/6
Next, we combine like terms on the left side:
47b = 470b/6
Solving for b involves dividing both sides by 47:
b = (470/6) / 47
Simplifying the right side gives us the answer:
b = 10/6 or b = 5/3.