Solve for s. 1/3s + 1/2 = 9/4 + 1/4s s =

To solve for ( s ) in the equation ( frac{1}{3}s + frac{1}{2} = frac{9}{4} + frac{1}{4}s ), follow these steps:

1. Get all terms involving ( s ) on one side:

[

frac{1}{3}s – frac{1}{4}s = frac{9}{4} – frac{1}{2}

]

2. Find a common denominator for the fractions involving ( s ) (which is 12):

[

frac{4}{12}s – frac{3}{12}s = frac{9}{4} – frac{2}{4}

]

This simplifies to:

[

frac{1}{12}s = frac{7}{4}

]

3. Isolate ( s ) by multiplying both sides by 12:

[

s = 12 times frac{7}{4}

]

4. Calculate:

[

s = 3 times 7 = 21

]

So, the solution is:

[

s = 21

]

This step-by-step approach isolates ( s ) and confirms the solution clearly. If you have more questions or need further assistance, don’t hesitate to ask!