Question

solve for q.
\\(\frac{7}{12} = q - \frac{1}{12}\\)
q = \\(\frac{\square}{\square}\\)
submit

Explanation:

Step1: Add $\frac{1}{12}$ to both sides

To isolate \( q \), we add \( \frac{1}{12} \) to both sides of the equation \( \frac{7}{12}=q - \frac{1}{12} \). This gives us \( \frac{7}{12}+\frac{1}{12}=q-\frac{1}{12}+\frac{1}{12} \).

Step2: Simplify both sides

On the left side, when we add the fractions with the same denominator, we add the numerators: \( \frac{7 + 1}{12}=\frac{8}{12} \). On the right side, \( -\frac{1}{12}+\frac{1}{12}=0 \), so we are left with \( q=\frac{8}{12} \). We can simplify \( \frac{8}{12} \) by dividing both the numerator and the denominator by their greatest common divisor, which is 4. So \( \frac{8\div4}{12\div4}=\frac{2}{3} \).

Answer:

\( \frac{2}{3} \)