Solve (3-2)*10*0,4/3+2+frac{1{2}-10}

$$\frac { ( 3 - 2 ) \cdot 10 \cdot 0,4 } { 3 + 2 + \frac { 1 } { 2 } - 10 }$$

Evaluate

$$-\frac{8}{9}\approx -0,888888889$$

Solution Steps

Subtract 2 from 3 to get 1.

$$\frac{1\times 10\times 0,4}{3+2+\frac{1}{2}-10}$$

Multiply 1 and 10 to get 10.

$$\frac{10\times 0,4}{3+2+\frac{1}{2}-10}$$

Multiply 10 and 0,4 to get 4.

$$\frac{4}{3+2+\frac{1}{2}-10}$$

Add 3 and 2 to get 5.

$$\frac{4}{5+\frac{1}{2}-10}$$

Convert 5 to fraction \frac{10}{2}.

$$\frac{4}{\frac{10}{2}+\frac{1}{2}-10}$$

Since \frac{10}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$\frac{4}{\frac{10+1}{2}-10}$$

Add 10 and 1 to get 11.

$$\frac{4}{\frac{11}{2}-10}$$

Convert 10 to fraction \frac{20}{2}.

$$\frac{4}{\frac{11}{2}-\frac{20}{2}}$$

Since \frac{11}{2} and \frac{20}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4}{\frac{11-20}{2}}$$

Subtract 20 from 11 to get -9.

$$\frac{4}{-\frac{9}{2}}$$

Divide 4 by -\frac{9}{2} by multiplying 4 by the reciprocal of -\frac{9}{2}.

$$4\left(-\frac{2}{9}\right)$$

Express 4\left(-\frac{2}{9}\right) as a single fraction.

$$\frac{4\left(-2\right)}{9}$$

Multiply 4 and -2 to get -8.

$$\frac{-8}{9}$$

Fraction \frac{-8}{9} can be rewritten as -\frac{8}{9} by extracting the negative sign.

$$-\frac{8}{9}$$

Factor

$$-\frac{8}{9} = -0.8888888888888888$$