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5+8\times 3-\frac{6}{4}\times 3-2
Subtract 2 from 7 to get 5.
5+24-\frac{6}{4}\times 3-2
Multiply 8 and 3 to get 24.
29-\frac{6}{4}\times 3-2
Add 5 and 24 to get 29.
29-\frac{3}{2}\times 3-2
Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.
29-\frac{3\times 3}{2}-2
Express \frac{3}{2}\times 3 as a single fraction.
29-\frac{9}{2}-2
Multiply 3 and 3 to get 9.
\frac{58}{2}-\frac{9}{2}-2
Convert 29 to fraction \frac{58}{2}.
\frac{58-9}{2}-2
Since \frac{58}{2} and \frac{9}{2} have the same denominator, subtract them by subtracting their numerators.
\frac{49}{2}-2
Subtract 9 from 58 to get 49.
\frac{49}{2}-\frac{4}{2}
Convert 2 to fraction \frac{4}{2}.
\frac{49-4}{2}
Since \frac{49}{2} and \frac{4}{2} have the same denominator, subtract them by subtracting their numerators.
\frac{45}{2}
Subtract 4 from 49 to get 45.