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x\left(1+\frac{1}{4}\right)=9
Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.
x\left(\frac{4}{4}+\frac{1}{4}\right)=9
Convert 1 to fraction \frac{4}{4}.
x\times \frac{4+1}{4}=9
Since \frac{4}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.
x\times \frac{5}{4}=9
Add 4 and 1 to get 5.
x=9\times \frac{4}{5}
Multiply both sides by \frac{4}{5}, the reciprocal of \frac{5}{4}.
x=\frac{9\times 4}{5}
Express 9\times \frac{4}{5} as a single fraction.
x=\frac{36}{5}
Multiply 9 and 4 to get 36.