Solve 2/5-10+12/5div2

$$\frac{ 2 }{ 5 } -10+ \frac{ 12 }{ 5 } \div 2$$

Evaluate

$$-\frac{42}{5}=-8.4$$

Solution Steps

Convert 10 to fraction \frac{50}{5}.

$$\frac{2}{5}-\frac{50}{5}+\frac{\frac{12}{5}}{2}$$

Since \frac{2}{5} and \frac{50}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2-50}{5}+\frac{\frac{12}{5}}{2}$$

Subtract 50 from 2 to get -48.

$$-\frac{48}{5}+\frac{\frac{12}{5}}{2}$$

Express \frac{\frac{12}{5}}{2} as a single fraction.

$$-\frac{48}{5}+\frac{12}{5\times 2}$$

Multiply 5 and 2 to get 10.

$$-\frac{48}{5}+\frac{12}{10}$$

Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{48}{5}+\frac{6}{5}$$

Since -\frac{48}{5} and \frac{6}{5} have the same denominator, add them by adding their numerators.

$$\frac{-48+6}{5}$$

Add -48 and 6 to get -42.

$$-\frac{42}{5}$$

Factor

$$-\frac{42}{5} = -8\frac{2}{5} = -8.4$$