6y=711
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
6⋅11=y⋅7
Rewrite the equation as y⋅7=6⋅11.
y⋅7=6⋅11
Multiply 6 by 11.
y⋅7=66
Divide each term by 7 and simplify.
Divide each term in y⋅7=66 by 7.
y⋅77=667
Cancel the common factor of 7.
Cancel the common factor.
y⋅77=667
Divide y by 1.
y=667
y=667
y=667
y=667
The result can be shown in multiple forms.
Exact Form:
y=667
Decimal Form:
y=9.428571‾
Mixed Number Form:
y=937
Solve for y 6/y=7/11