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4.5\times \frac{6+1}{2}-\frac{3}{0.2}
Multiply 3 and 2 to get 6.
4.5\times \frac{7}{2}-\frac{3}{0.2}
Add 6 and 1 to get 7.
\frac{9}{2}\times \frac{7}{2}-\frac{3}{0.2}
Convert decimal number 4.5 to fraction \frac{45}{10}. Reduce the fraction \frac{45}{10} to lowest terms by extracting and canceling out 5.
\frac{9\times 7}{2\times 2}-\frac{3}{0.2}
Multiply \frac{9}{2} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{63}{4}-\frac{3}{0.2}
Do the multiplications in the fraction \frac{9\times 7}{2\times 2}.
\frac{63}{4}-\frac{30}{2}
Expand \frac{3}{0.2} by multiplying both numerator and the denominator by 10.
\frac{63}{4}-15
Divide 30 by 2 to get 15.
\frac{63}{4}-\frac{60}{4}
Convert 15 to fraction \frac{60}{4}.
\frac{63-60}{4}
Since \frac{63}{4} and \frac{60}{4} have the same denominator, subtract them by subtracting their numerators.
\frac{3}{4}
Subtract 60 from 63 to get 3.