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\frac{75\times 3}{100}+75
Express 75\times \frac{3}{100} as a single fraction.
\frac{225}{100}+75
Multiply 75 and 3 to get 225.
\frac{9}{4}+75
Reduce the fraction \frac{225}{100} to lowest terms by extracting and canceling out 25.
\frac{9}{4}+\frac{300}{4}
Convert 75 to fraction \frac{300}{4}.
\frac{9+300}{4}
Since \frac{9}{4} and \frac{300}{4} have the same denominator, add them by adding their numerators.
\frac{309}{4}
Add 9 and 300 to get 309.