Solve 21/2+4.8div(-2)+(-73/5)=

$$2 \frac{ 1 }{ 2 } +4.8 \div (-2)+(-7 \frac{ 3 }{ 5 } )=$$

Evaluate

$$-7.5$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{4+1}{2}+\frac{4.8}{-2}-\frac{7\times 5+3}{5}$$

Add 4 and 1 to get 5.

$$\frac{5}{2}+\frac{4.8}{-2}-\frac{7\times 5+3}{5}$$

Expand \frac{4.8}{-2} by multiplying both numerator and the denominator by 10.

$$\frac{5}{2}+\frac{48}{-20}-\frac{7\times 5+3}{5}$$

Reduce the fraction \frac{48}{-20} to lowest terms by extracting and canceling out 4.

$$\frac{5}{2}-\frac{12}{5}-\frac{7\times 5+3}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{5}{2} and \frac{12}{5} to fractions with denominator 10.

$$\frac{25}{10}-\frac{24}{10}-\frac{7\times 5+3}{5}$$

Since \frac{25}{10} and \frac{24}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-24}{10}-\frac{7\times 5+3}{5}$$

Subtract 24 from 25 to get 1.

$$\frac{1}{10}-\frac{7\times 5+3}{5}$$

Multiply 7 and 5 to get 35.

$$\frac{1}{10}-\frac{35+3}{5}$$

Add 35 and 3 to get 38.

$$\frac{1}{10}-\frac{38}{5}$$

Least common multiple of 10 and 5 is 10. Convert \frac{1}{10} and \frac{38}{5} to fractions with denominator 10.

$$\frac{1}{10}-\frac{76}{10}$$

Since \frac{1}{10} and \frac{76}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-76}{10}$$

Subtract 76 from 1 to get -75.

$$\frac{-75}{10}$$

Reduce the fraction \frac{-75}{10} to lowest terms by extracting and canceling out 5.

$$-\frac{15}{2}$$

Factor

$$-7.5$$