# Solve for y y/6+y/5=7/6

y6+y5=76
Simplify y6+y5.
To write y6 as a fraction with a common denominator, multiply by 55.
y6⋅55+y5=76
To write y5 as a fraction with a common denominator, multiply by 66.
y6⋅55+y5⋅66=76
Write each expression with a common denominator of 30, by multiplying each by an appropriate factor of 1.
Multiply y6 and 55.
y⋅56⋅5+y5⋅66=76
Multiply 6 by 5.
y⋅530+y5⋅66=76
Multiply y5 and 66.
y⋅530+y⋅65⋅6=76
Multiply 5 by 6.
y⋅530+y⋅630=76
y⋅530+y⋅630=76
Combine the numerators over the common denominator.
y⋅5+y⋅630=76
Simplify the numerator.
Move 5 to the left of y.
5⋅y+y⋅630=76
Move 6 to the left of y.
5y+6⋅y30=76
11y30=76
11y30=76
11y30=76
Multiply both sides of the equation by 3011.
3011⋅11y30=3011⋅76
Simplify both sides of the equation.
Simplify 3011⋅11y30.
Cancel the common factor of 30.
Cancel the common factor.
3011⋅11y30=3011⋅76
Rewrite the expression.
111⋅(11y)=3011⋅76
111⋅(11y)=3011⋅76
Cancel the common factor of 11.
Factor 11 out of 11y.
111⋅(11(y))=3011⋅76
Cancel the common factor.
111⋅(11y)=3011⋅76
Rewrite the expression.
y=3011⋅76
y=3011⋅76
y=3011⋅76
Simplify 3011⋅76.
Cancel the common factor of 6.
Factor 6 out of 30.
y=6(5)11⋅76
Cancel the common factor.
y=6⋅511⋅76
Rewrite the expression.
y=511⋅7
y=511⋅7
Combine 511 and 7.
y=5⋅711
Multiply 5 by 7.
y=3511
y=3511
y=3511
The result can be shown in multiple forms.
Exact Form:
y=3511
Decimal Form:
y=3.18‾
Mixed Number Form:
y=3211
Solve for y y/6+y/5=7/6

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