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\frac{1}{90}\times 45+15x=1
Add 30 and 15 to get 45.
\frac{45}{90}+15x=1
Multiply \frac{1}{90} and 45 to get \frac{45}{90}.
\frac{1}{2}+15x=1
Reduce the fraction \frac{45}{90} to lowest terms by extracting and canceling out 45.
15x=1-\frac{1}{2}
Subtract \frac{1}{2} from both sides.
15x=\frac{2}{2}-\frac{1}{2}
Convert 1 to fraction \frac{2}{2}.
15x=\frac{2-1}{2}
Since \frac{2}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.
15x=\frac{1}{2}
Subtract 1 from 2 to get 1.
x=\frac{\frac{1}{2}}{15}
Divide both sides by 15.
x=\frac{1}{2\times 15}
Express \frac{\frac{1}{2}}{15} as a single fraction.
x=\frac{1}{30}
Multiply 2 and 15 to get 30.