# Solve for z 6/(2/3)=18/z

623=18z
Rewrite the equation as 18z=623.
18z=623
Factor each term.
Multiply the numerator by the reciprocal of the denominator.
18z=6(32)
Cancel the common factor of 2.
Factor 2 out of 6.
18z=2(3)32
Cancel the common factor.
18z=2⋅332
Rewrite the expression.
18z=3⋅3
18z=3⋅3
Multiply 3 by 3.
18z=9
18z=9
Solve for z.
Multiply each term by z and simplify.
Multiply each term in 18z=9 by z.
18z⋅z=9⋅z
Cancel the common factor of z.
Cancel the common factor.
18z⋅z=9⋅z
Rewrite the expression.
18=9⋅z
18=9z
18=9z
Rewrite the equation as 9z=18.
9z=18
Divide each term by 9 and simplify.
Divide each term in 9z=18 by 9.
9z9=189
Cancel the common factor of 9.
Cancel the common factor.
9z9=189
Divide z by 1.
z=189
z=189
Divide 18 by 9.
z=2
z=2
z=2
Solve for z 6/(2/3)=18/z

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