# Solve for f 2 1/2+f=3 1/4

212+f=314
Convert 212 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
2+12+f=314
To write 2 as a fraction with a common denominator, multiply by 22.
2⋅22+12+f=314
Combine 2 and 22.
2⋅22+12+f=314
Combine the numerators over the common denominator.
2⋅2+12+f=314
Simplify the numerator.
Multiply 2 by 2.
4+12+f=314
52+f=314
52+f=314
52+f=314
52+f=314
Convert 314 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
52+f=3+14
To write 3 as a fraction with a common denominator, multiply by 44.
52+f=3⋅44+14
Combine 3 and 44.
52+f=3⋅44+14
Combine the numerators over the common denominator.
52+f=3⋅4+14
Simplify the numerator.
Multiply 3 by 4.
52+f=12+14
52+f=134
52+f=134
52+f=134
52+f=134
Move all terms not containing f to the right side of the equation.
Subtract 52 from both sides of the equation.
f=134-52
To write -52 as a fraction with a common denominator, multiply by 22.
f=134-52⋅22
Write each expression with a common denominator of 4, by multiplying each by an appropriate factor of 1.
Multiply 52 and 22.
f=134-5⋅22⋅2
Multiply 2 by 2.
f=134-5⋅24
f=134-5⋅24
Combine the numerators over the common denominator.
f=13-5⋅24
Simplify the numerator.
Multiply -5 by 2.
f=13-104
Subtract 10 from 13.
f=34
f=34
f=34
The result can be shown in multiple forms.
Exact Form:
f=34
Decimal Form:
f=0.75
Solve for f 2 1/2+f=3 1/4

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