# Solve for w w+3 3/8=1 5/6 w+338=156
Convert 338 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
w+3+38=156
Add 3 and 38.
To write 3 as a fraction with a common denominator, multiply by 88.
w+3⋅88+38=156
Combine 3 and 88.
w+3⋅88+38=156
Combine the numerators over the common denominator.
w+3⋅8+38=156
Simplify the numerator.
Multiply 3 by 8.
w+24+38=156
Add 24 and 3.
w+278=156
w+278=156
w+278=156
w+278=156
Convert 156 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
w+278=1+56
Add 1 and 56.
Write 1 as a fraction with a common denominator.
w+278=66+56
Combine the numerators over the common denominator.
w+278=6+56
Add 6 and 5.
w+278=116
w+278=116
w+278=116
Move all terms not containing w to the right side of the equation.
Subtract 278 from both sides of the equation.
w=116-278
To write 116 as a fraction with a common denominator, multiply by 44.
w=116⋅44-278
To write -278 as a fraction with a common denominator, multiply by 33.
w=116⋅44-278⋅33
Write each expression with a common denominator of 24, by multiplying each by an appropriate factor of 1.
Multiply 116 and 44.
w=11⋅46⋅4-278⋅33
Multiply 6 by 4.
w=11⋅424-278⋅33
Multiply 278 and 33.
w=11⋅424-27⋅38⋅3
Multiply 8 by 3.
w=11⋅424-27⋅324
w=11⋅424-27⋅324
Combine the numerators over the common denominator.
w=11⋅4-27⋅324
Simplify the numerator.
Multiply 11 by 4.
w=44-27⋅324
Multiply -27 by 3.
w=44-8124
Subtract 81 from 44.
w=-3724
w=-3724
Move the negative in front of the fraction.
w=-3724
w=-3724
The result can be shown in multiple forms.
Exact Form:
w=-3724
Decimal Form:
w=-1.5416‾
Mixed Number Form:
w=-11324
Solve for w w+3 3/8=1 5/6

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