Solve for f. 2 – 1/4 = f – 3/4 + 3 f =

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 =