Solve for f.
2 – 1/4 = f – 3/4 + 3
f =
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To solve for ( f ) in the equation ( 2 – frac{1}{4} = f – frac{3}{4} + 3 ), follow these steps:
1. Simplify the left side:
( 2 – frac{1}{4} = frac{8}{4} – frac{1}{4} = frac{7}{4} ).
2. Rewrite the equation:
( frac{7}{4} = f – frac{3}{4} + 3 ).
3. Combine 3 on the right side:
Convert 3 to quarters: ( 3 = frac{12}{4} ).
Now the equation is:
( frac{7}{4} = f – frac{3}{4} + frac{12}{4} ).
4. Combine ( -frac{3}{4} ) and ( frac{12}{4} ):
( -frac{3}{4} + frac{12}{4} = frac{9}{4} ).
So now we have:
( frac{7}{4} = f + frac{9}{4} ).
5. Isolate ( f ):
Subtract ( frac{9}{4} ) from both sides:
( f =