# Solve for w w-2=3 1/2 w-2=312
Convert 312 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
w-2=3+12
Add 3 and 12.
To write 3 as a fraction with a common denominator, multiply by 22.
w-2=3⋅22+12
Combine 3 and 22.
w-2=3⋅22+12
Combine the numerators over the common denominator.
w-2=3⋅2+12
Simplify the numerator.
Multiply 3 by 2.
w-2=6+12
Add 6 and 1.
w-2=72
w-2=72
w-2=72
w-2=72
Move all terms not containing w to the right side of the equation.
Add 2 to both sides of the equation.
w=72+2
To write 2 as a fraction with a common denominator, multiply by 22.
w=72+2⋅22
Combine 2 and 22.
w=72+2⋅22
Combine the numerators over the common denominator.
w=7+2⋅22
Simplify the numerator.
Multiply 2 by 2.
w=7+42
Add 7 and 4.
w=112
w=112
w=112
The result can be shown in multiple forms.
Exact Form:
w=112
Decimal Form:
w=5.5
Mixed Number Form:
w=512
Solve for w w-2=3 1/2

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