Question

question
solve: $q - \frac{1}{2} = \frac{5}{6}$. reduce fraction to simplest form.
provide your answer below:
$q = \square$

Explanation:

Step1: Add $\frac{1}{2}$ to both sides

To solve for \( q \), we add \(\frac{1}{2}\) to both sides of the equation \( q - \frac{1}{2} = \frac{5}{6} \). This gives us \( q = \frac{5}{6} + \frac{1}{2} \).

Step2: Find a common denominator

The common denominator of 6 and 2 is 6. So we rewrite \(\frac{1}{2}\) as \(\frac{3}{6}\) (since \( \frac{1\times3}{2\times3} = \frac{3}{6} \)). Now the equation becomes \( q = \frac{5}{6} + \frac{3}{6} \).

Step3: Add the fractions

Adding the numerators, we get \( q = \frac{5 + 3}{6} = \frac{8}{6} \).

Step4: Simplify the fraction

We simplify \(\frac{8}{6}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So \( \frac{8\div2}{6\div2} = \frac{4}{3} \).

Answer:

\( q = \frac{4}{3} \)