30z=253

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.

30⋅3=z⋅25

Rewrite the equation as z⋅25=30⋅3.

z⋅25=30⋅3

Multiply 30 by 3.

z⋅25=90

Divide each term by 25 and simplify.

Divide each term in z⋅25=90 by 25.

z⋅2525=9025

Cancel the common factor of 25.

Cancel the common factor.

z⋅2525=9025

Divide z by 1.

z=9025

z=9025

Cancel the common factor of 90 and 25.

Factor 5 out of 90.

z=5(18)25

Cancel the common factors.

Factor 5 out of 25.

z=5⋅185⋅5

Cancel the common factor.

z=5⋅185⋅5

Rewrite the expression.

z=185

z=185

z=185

z=185

z=185

The result can be shown in multiple forms.

Exact Form:

z=185

Decimal Form:

z=3.6

Mixed Number Form:

z=335

Solve for z 30/z=25/3