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30+0\times 30+\frac{15}{100}\times 30
Multiply 0 and 825 to get 0.
30+0+\frac{15}{100}\times 30
Multiply 0 and 30 to get 0.
30+\frac{15}{100}\times 30
Add 30 and 0 to get 30.
30+\frac{3}{20}\times 30
Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.
30+\frac{3\times 30}{20}
Express \frac{3}{20}\times 30 as a single fraction.
30+\frac{90}{20}
Multiply 3 and 30 to get 90.
30+\frac{9}{2}
Reduce the fraction \frac{90}{20} to lowest terms by extracting and canceling out 10.
\frac{60}{2}+\frac{9}{2}
Convert 30 to fraction \frac{60}{2}.
\frac{60+9}{2}
Since \frac{60}{2} and \frac{9}{2} have the same denominator, add them by adding their numerators.
\frac{69}{2}
Add 60 and 9 to get 69.