Solve 31/5+-4/10--1.8

$$3 \frac{ 1 }{ 5 } +- \frac{ 4 }{ 10 } --1.8$$

Evaluate

$$4.6$$

Solution Steps

Multiply 3 and 5 to get 15.

$$\frac{15+1}{5}-\frac{4}{10}-\left(-1.8\right)$$

Add 15 and 1 to get 16.

$$\frac{16}{5}-\frac{4}{10}-\left(-1.8\right)$$

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{16}{5}-\frac{2}{5}-\left(-1.8\right)$$

Since \frac{16}{5} and \frac{2}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-2}{5}-\left(-1.8\right)$$

Subtract 2 from 16 to get 14.

$$\frac{14}{5}-\left(-1.8\right)$$

The opposite of -1.8 is 1.8.

$$\frac{14}{5}+1.8$$

Convert decimal number 1.8 to fraction \frac{18}{10}. Reduce the fraction \frac{18}{10} to lowest terms by extracting and canceling out 2.

$$\frac{14}{5}+\frac{9}{5}$$

Since \frac{14}{5} and \frac{9}{5} have the same denominator, add them by adding their numerators.

$$\frac{14+9}{5}$$

Add 14 and 9 to get 23.

$$\frac{23}{5}$$

Factor

$$\frac{23}{5} = 4\frac{3}{5} = 4.6$$