Solve 032*3/40+3/5/02:2frac{1{2}-11/5}=

$$\frac { 032 \cdot \frac { 3 } { 40 } + \frac { 3 } { 5 } } { 02 : 2 \frac { 1 } { 2 } - 1 \frac { 1 } { 5 } } =$$

Evaluate

$$-\frac{1}{2}=-0.5$$

Solution Steps

Multiply 0 and 32 to get 0.

$$\frac{0\times \frac{3}{40}+\frac{3}{5}}{\frac{0\times 2}{\frac{2\times 2+1}{2}}-\frac{1\times 5+1}{5}}$$

Multiply 0 and \frac{3}{40} to get 0.

$$\frac{0+\frac{3}{5}}{\frac{0\times 2}{\frac{2\times 2+1}{2}}-\frac{1\times 5+1}{5}}$$

Add 0 and \frac{3}{5} to get \frac{3}{5}.

$$\frac{\frac{3}{5}}{\frac{0\times 2}{\frac{2\times 2+1}{2}}-\frac{1\times 5+1}{5}}$$

Multiply 0 and 2 to get 0.

$$\frac{\frac{3}{5}}{\frac{0}{\frac{2\times 2+1}{2}}-\frac{1\times 5+1}{5}}$$

Multiply 2 and 2 to get 4.

$$\frac{\frac{3}{5}}{\frac{0}{\frac{4+1}{2}}-\frac{1\times 5+1}{5}}$$

Add 4 and 1 to get 5.

$$\frac{\frac{3}{5}}{\frac{0}{\frac{5}{2}}-\frac{1\times 5+1}{5}}$$

Zero divided by any non-zero number gives zero.

$$\frac{\frac{3}{5}}{0-\frac{1\times 5+1}{5}}$$

Multiply 1 and 5 to get 5.

$$\frac{\frac{3}{5}}{0-\frac{5+1}{5}}$$

Add 5 and 1 to get 6.

$$\frac{\frac{3}{5}}{0-\frac{6}{5}}$$

Subtract \frac{6}{5} from 0 to get -\frac{6}{5}.

$$\frac{\frac{3}{5}}{-\frac{6}{5}}$$

Divide \frac{3}{5} by -\frac{6}{5} by multiplying \frac{3}{5} by the reciprocal of -\frac{6}{5}.

$$\frac{3}{5}\left(-\frac{5}{6}\right)$$

Multiply \frac{3}{5} times -\frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3\left(-5\right)}{5\times 6}$$

Do the multiplications in the fraction \frac{3\left(-5\right)}{5\times 6}.

$$\frac{-15}{30}$$

Reduce the fraction \frac{-15}{30} to lowest terms by extracting and canceling out 15.

$$-\frac{1}{2}$$

Factor

$$-\frac{1}{2} = -0.5$$