52=30z

Rewrite the equation as 30z=52.

30z=52

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⋅2=z⋅5

Rewrite the equation as z⋅5=30⋅2.

z⋅5=30⋅2

Multiply 30 by 2.

z⋅5=60

Divide each term by 5 and simplify.

Divide each term in z⋅5=60 by 5.

z⋅55=605

Cancel the common factor of 5.

Cancel the common factor.

z⋅55=605

Divide z by 1.

z=605

z=605

Divide 60 by 5.

z=12

z=12

z=12

Solve for z 5/2=30/z