Solve 33/4*(-11/5)+51/2

$$3 \frac { 3 } { 4 } \times ( - 1 \frac { 1 } { 5 } ) + 5 \frac { 1 } { 2 }$$

Evaluate

$$1$$

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{12+3}{4}\left(-\frac{1\times 5+1}{5}\right)+\frac{5\times 2+1}{2}$$

Add 12 and 3 to get 15.

$$\frac{15}{4}\left(-\frac{1\times 5+1}{5}\right)+\frac{5\times 2+1}{2}$$

Multiply 1 and 5 to get 5.

$$\frac{15}{4}\left(-\frac{5+1}{5}\right)+\frac{5\times 2+1}{2}$$

Add 5 and 1 to get 6.

$$\frac{15}{4}\left(-\frac{6}{5}\right)+\frac{5\times 2+1}{2}$$

Multiply \frac{15}{4} times -\frac{6}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{15\left(-6\right)}{4\times 5}+\frac{5\times 2+1}{2}$$

Do the multiplications in the fraction \frac{15\left(-6\right)}{4\times 5}.

$$\frac{-90}{20}+\frac{5\times 2+1}{2}$$

Reduce the fraction \frac{-90}{20} to lowest terms by extracting and canceling out 10.

$$-\frac{9}{2}+\frac{5\times 2+1}{2}$$

Multiply 5 and 2 to get 10.

$$-\frac{9}{2}+\frac{10+1}{2}$$

Add 10 and 1 to get 11.

$$-\frac{9}{2}+\frac{11}{2}$$

Since -\frac{9}{2} and \frac{11}{2} have the same denominator, add them by adding their numerators.

$$\frac{-9+11}{2}$$

Add -9 and 11 to get 2.

$$\frac{2}{2}$$

Divide 2 by 2 to get 1.

$$1$$

Factor

$$1$$