123⋅z=58

Convert 123 to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

(1+23)⋅z=58

Add 1 and 23.

Write 1 as a fraction with a common denominator.

(33+23)⋅z=58

Combine the numerators over the common denominator.

3+23⋅z=58

Add 3 and 2.

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 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