Solve 2+3/2-1/5+9*(-1/10)

$$2+ \frac{ 3 }{ 2 } - \frac{ 1 }{ 5 } +9 \times (- \frac{ 1 }{ 10 } )$$

Evaluate

$$\frac{12}{5}=2.4$$

Solution Steps

Convert 2 to fraction \frac{4}{2}.

$$\frac{4}{2}+\frac{3}{2}-\frac{1}{5}+9\left(-\frac{1}{10}\right)$$

Since \frac{4}{2} and \frac{3}{2} have the same denominator, add them by adding their numerators.

$$\frac{4+3}{2}-\frac{1}{5}+9\left(-\frac{1}{10}\right)$$

Add 4 and 3 to get 7.

$$\frac{7}{2}-\frac{1}{5}+9\left(-\frac{1}{10}\right)$$

Least common multiple of 2 and 5 is 10. Convert \frac{7}{2} and \frac{1}{5} to fractions with denominator 10.

$$\frac{35}{10}-\frac{2}{10}+9\left(-\frac{1}{10}\right)$$

Since \frac{35}{10} and \frac{2}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-2}{10}+9\left(-\frac{1}{10}\right)$$

Subtract 2 from 35 to get 33.

$$\frac{33}{10}+9\left(-\frac{1}{10}\right)$$

Express 9\left(-\frac{1}{10}\right) as a single fraction.

$$\frac{33}{10}+\frac{9\left(-1\right)}{10}$$

Multiply 9 and -1 to get -9.

$$\frac{33}{10}+\frac{-9}{10}$$

Fraction \frac{-9}{10} can be rewritten as -\frac{9}{10} by extracting the negative sign.

$$\frac{33}{10}-\frac{9}{10}$$

Since \frac{33}{10} and \frac{9}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-9}{10}$$

Subtract 9 from 33 to get 24.

$$\frac{24}{10}$$

Reduce the fraction \frac{24}{10} to lowest terms by extracting and canceling out 2.

$$\frac{12}{5}$$

Factor

$$\frac{2 ^ {2} \cdot 3}{5} = 2\frac{2}{5} = 2.4$$