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80\times 9=a\times 100
Variable a cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by 80a, the least common multiple of a,80.
720=a\times 100
Multiply 80 and 9 to get 720.
a\times 100=720
Swap sides so that all variable terms are on the left hand side.
a=\frac{720}{100}
Divide both sides by 100.
a=\frac{36}{5}
Reduce the fraction \frac{720}{100} to lowest terms by extracting and canceling out 20.