# Solve for a 16/120=1/a

16120=1a
Rewrite the equation as 1a=16120.
1a=16120
Cancel the common factor of 16 and 120.
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
Solve the equation for a.
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

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