235+w-413=7815

Convert 235 to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

2+35+w-413=7815

Add 2 and 35.

To write 2 as a fraction with a common denominator, multiply by 55.

2⋅55+35+w-413=7815

Combine 2 and 55.

2⋅55+35+w-413=7815

Combine the numerators over the common denominator.

2⋅5+35+w-413=7815

Simplify the numerator.

Multiply 2 by 5.

10+35+w-413=7815

Add 10 and 3.

135+w-413=7815

135+w-413=7815

135+w-413=7815

135+w-413=7815

Convert 413 to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

135+w-(4+13)=7815

Add 4 and 13.

To write 4 as a fraction with a common denominator, multiply by 33.

135+w-(4⋅33+13)=7815

Combine 4 and 33.

135+w-(4⋅33+13)=7815

Combine the numerators over the common denominator.

135+w-4⋅3+13=7815

Simplify the numerator.

Multiply 4 by 3.

135+w-12+13=7815

Add 12 and 1.

135+w-133=7815

135+w-133=7815

135+w-133=7815

135+w-133=7815

To write 135 as a fraction with a common denominator, multiply by 33.

w+135⋅33-133=7815

To write -133 as a fraction with a common denominator, multiply by 55.

w+135⋅33-133⋅55=7815

Write each expression with a common denominator of 15, by multiplying each by an appropriate factor of 1.

Multiply 135 and 33.

w+13⋅35⋅3-133⋅55=7815

Multiply 5 by 3.

w+13⋅315-133⋅55=7815

Multiply 133 and 55.

w+13⋅315-13⋅53⋅5=7815

Multiply 3 by 5.

w+13⋅315-13⋅515=7815

w+13⋅315-13⋅515=7815

Combine the numerators over the common denominator.

w+13⋅3-13⋅515=7815

Simplify the numerator.

Multiply 13 by 3.

w+39-13⋅515=7815

Multiply -13 by 5.

w+39-6515=7815

Subtract 65 from 39.

w+-2615=7815

w+-2615=7815

Move the negative in front of the fraction.

w-2615=7815

w-2615=7815

A mixed number is an addition of its whole and fractional parts.

w-2615=7+815

Add 7 and 815.

To write 7 as a fraction with a common denominator, multiply by 1515.

w-2615=7⋅1515+815

Combine 7 and 1515.

w-2615=7⋅1515+815

Combine the numerators over the common denominator.

w-2615=7⋅15+815

Simplify the numerator.

Multiply 7 by 15.

w-2615=105+815

Add 105 and 8.

w-2615=11315

w-2615=11315

w-2615=11315

w-2615=11315

Add 2615 to both sides of the equation.

w=11315+2615

Combine the numerators over the common denominator.

w=113+2615

Add 113 and 26.

w=13915

w=13915

The result can be shown in multiple forms.

Exact Form:

w=13915

Decimal Form:

w=9.26‾

Mixed Number Form:

w=9415

Solve for w 2 3/5+w-4 1/3=7 8/15