# Solve for a 72/90=8/a

7290=8a
Rewrite the equation as 8a=7290.
8a=7290
Cancel the common factor of 72 and 90.
Factor 18 out of 72.
8a=18(4)90
Cancel the common factors.
Factor 18 out of 90.
8a=18⋅418⋅5
Cancel the common factor.
8a=18⋅418⋅5
Rewrite the expression.
8a=45
8a=45
8a=45
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.
8⋅5=a⋅4
Solve the equation for a.
Rewrite the equation as a⋅4=8⋅5.
a⋅4=8⋅5
Multiply 8 by 5.
a⋅4=40
Divide each term by 4 and simplify.
Divide each term in a⋅4=40 by 4.
a⋅44=404
Cancel the common factor of 4.
Cancel the common factor.
a⋅44=404
Divide a by 1.
a=404
a=404
Divide 40 by 4.
a=10
a=10
a=10
Solve for a 72/90=8/a

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