# Solve for y 1/(6y)=5/33

16y=533
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.
1⋅33=6y⋅5
Solve the equation for y.
Rewrite the equation as 6y⋅5=1⋅33.
6y⋅5=1⋅33
Simplify.
Multiply 5 by 6.
30y=1⋅33
Multiply 33 by 1.
30y=33
30y=33
Divide each term by 30 and simplify.
Divide each term in 30y=33 by 30.
30y30=3330
Cancel the common factor of 30.
Cancel the common factor.
30y30=3330
Divide y by 1.
y=3330
y=3330
Cancel the common factor of 33 and 30.
Factor 3 out of 33.
y=3(11)30
Cancel the common factors.
Factor 3 out of 30.
y=3⋅113⋅10
Cancel the common factor.
y=3⋅113⋅10
Rewrite the expression.
y=1110
y=1110
y=1110
y=1110
y=1110
The result can be shown in multiple forms.
Exact Form:
y=1110
Decimal Form:
y=1.1
Mixed Number Form:
y=1110
Solve for y 1/(6y)=5/33

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