Question

solve for g.
\frac{2}{3} = g - \frac{1}{4}

g =

Explanation:

Step1: Add $\frac{1}{4}$ to both sides

To isolate \( g \), we add \(\frac{1}{4}\) to both sides of the equation \(\frac{2}{3}=g - \frac{1}{4}\). So we get \( g=\frac{2}{3}+\frac{1}{4} \).

Step2: Find a common denominator

The common denominator of 3 and 4 is 12. Convert the fractions: \(\frac{2}{3}=\frac{2\times4}{3\times4}=\frac{8}{12}\) and \(\frac{1}{4}=\frac{1\times3}{4\times3}=\frac{3}{12}\).

Step3: Add the fractions

Now add the two fractions: \(\frac{8}{12}+\frac{3}{12}=\frac{8 + 3}{12}=\frac{11}{12}\).

Answer:

\(\frac{11}{12}\)