w+338=156

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

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

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