38. \( \frac{7}{12}+q=1 \)

To solve for \( q \), we need to isolate it by subtracting \( \frac{7}{12} \) from both sides of the equation. So, we have: \[ q = 1 - \frac{7}{12} \] To subtract these fractions, we can convert 1 into a fraction with the same denominator as \( \frac{7}{12} \). This can be done as: \[ 1 = \frac{12}{12} \] Now, substituting back, we get: \[ q = \frac{12}{12} - \frac{7}{12} \] When we perform the subtraction: \[ q = \frac{12 - 7}{12} = \frac{5}{12} \] So, the value of \( q \) is \( \frac{5}{12} \). If you're ever working with fractions and need a common denominator, remember to always look for the least common multiple, which can make computations a lot smoother. And if you find yourself juggling too many fractions, don't hesitate to simplify as you go—it can save you a lot of time and headaches in solving equations!