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2\times \frac{3}{4}+\frac{4}{1}
Anything divided by one gives itself.
\frac{2\times 3}{4}+\frac{4}{1}
Express 2\times \frac{3}{4} as a single fraction.
\frac{6}{4}+\frac{4}{1}
Multiply 2 and 3 to get 6.
\frac{3}{2}+\frac{4}{1}
Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.
\frac{3}{2}+4
Anything divided by one gives itself.
\frac{3}{2}+\frac{8}{2}
Convert 4 to fraction \frac{8}{2}.
\frac{3+8}{2}
Since \frac{3}{2} and \frac{8}{2} have the same denominator, add them by adding their numerators.
\frac{11}{2}
Add 3 and 8 to get 11.