# Solve for z 1 2/3*z=5/8 123⋅z=58
Simplify 123⋅z.
Convert 123 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
(1+23)⋅z=58
Write 1 as a fraction with a common denominator.
(33+23)⋅z=58
Combine the numerators over the common denominator.
3+23⋅z=58
53⋅z=58
53⋅z=58
53⋅z=58
Combine 53 and z.
5z3=58
5z3=58
Multiply both sides of the equation by 35.
35⋅5z3=35⋅58
Simplify both sides of the equation.
Simplify 35⋅5z3.
Cancel the common factor of 3.
Cancel the common factor.
35⋅5z3=35⋅58
Rewrite the expression.
15⋅(5z)=35⋅58
15⋅(5z)=35⋅58
Cancel the common factor of 5.
Factor 5 out of 5z.
15⋅(5(z))=35⋅58
Cancel the common factor.
15⋅(5z)=35⋅58
Rewrite the expression.
z=35⋅58
z=35⋅58
z=35⋅58
Simplify 35⋅58.
Cancel the common factor of 5.
Cancel the common factor.
z=35⋅58
Rewrite the expression.
z=3⋅18
z=3⋅18
Combine 3 and 18.
z=38
z=38
z=38
The result can be shown in multiple forms.
Exact Form:
z=38
Decimal Form:
z=0.375
Solve for z 1 2/3*z=5/8

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