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