# Solve for z 30/8=z/42 308=z42
Rewrite the equation as z42=308.
z42=308
Multiply both sides of the equation by 42.
42⋅z42=42⋅308
Simplify both sides of the equation.
Cancel the common factor of 42.
Cancel the common factor.
42⋅z42=42⋅308
Rewrite the expression.
z=42⋅308
z=42⋅308
Simplify 42⋅308.
Cancel the common factor of 2.
Factor 2 out of 42.
z=2(21)⋅308
Factor 2 out of 8.
z=2⋅21⋅302⋅4
Cancel the common factor.
z=2⋅21⋅302⋅4
Rewrite the expression.
z=21⋅304
z=21⋅304
Combine 21 and 304.
z=21⋅304
Multiply 21 by 30.
z=6304
Cancel the common factor of 630 and 4.
Factor 2 out of 630.
z=2(315)4
Cancel the common factors.
Factor 2 out of 4.
z=2⋅3152⋅2
Cancel the common factor.
z=2⋅3152⋅2
Rewrite the expression.
z=3152
z=3152
z=3152
z=3152
z=3152
The result can be shown in multiple forms.
Exact Form:
z=3152
Decimal Form:
z=157.5
Mixed Number Form:
z=15712
Solve for z 30/8=z/42

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