Solve 21/2+48div(-2)+(-73/5)=

$$2 \frac{ 1 }{ 2 } +48 \div (-2)+(-7 \frac{ 3 }{ 5 } )=$$

Evaluate

$$-\frac{291}{10}=-29.1$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{4+1}{2}+\frac{48}{-2}-\frac{7\times 5+3}{5}$$

Add 4 and 1 to get 5.

$$\frac{5}{2}+\frac{48}{-2}-\frac{7\times 5+3}{5}$$

Divide 48 by -2 to get -24.

$$\frac{5}{2}-24-\frac{7\times 5+3}{5}$$

Convert 24 to fraction \frac{48}{2}.

$$\frac{5}{2}-\frac{48}{2}-\frac{7\times 5+3}{5}$$

Since \frac{5}{2} and \frac{48}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-48}{2}-\frac{7\times 5+3}{5}$$

Subtract 48 from 5 to get -43.

$$-\frac{43}{2}-\frac{7\times 5+3}{5}$$

Multiply 7 and 5 to get 35.

$$-\frac{43}{2}-\frac{35+3}{5}$$

Add 35 and 3 to get 38.

$$-\frac{43}{2}-\frac{38}{5}$$

Least common multiple of 2 and 5 is 10. Convert -\frac{43}{2} and \frac{38}{5} to fractions with denominator 10.

$$-\frac{215}{10}-\frac{76}{10}$$

Since -\frac{215}{10} and \frac{76}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-215-76}{10}$$

Subtract 76 from -215 to get -291.

$$-\frac{291}{10}$$

Factor

$$-\frac{291}{10} = -29\frac{1}{10} = -29.1$$