16120=1a

Rewrite the equation as 1a=16120.

1a=16120

Factor 8 out of 16.

1a=8(2)120

Cancel the common factors.

Factor 8 out of 120.

1a=8⋅28⋅15

Cancel the common factor.

1a=8⋅28⋅15

Rewrite the expression.

1a=215

1a=215

1a=215

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.

1⋅15=a⋅2

Rewrite the equation as a⋅2=1⋅15.

a⋅2=1⋅15

Multiply 15 by 1.

a⋅2=15

Divide each term by 2 and simplify.

Divide each term in a⋅2=15 by 2.

a⋅22=152

Cancel the common factor of 2.

Cancel the common factor.

a⋅22=152

Divide a by 1.

a=152

a=152

a=152

a=152

The result can be shown in multiple forms.

Exact Form:

a=152

Decimal Form:

a=7.5

Mixed Number Form:

a=712

Solve for a 16/120=1/a