# Solve for w 2 3/5+w-4 1/3=7 8/15 235+w-413=7815
Simplify 235+w-413.
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
Convert 7815 to an improper fraction.
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
Move all terms not containing w to the right side of the equation.
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

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