Solve 1.8+-18/5--61/10=

$$1.8 + \frac { - 18 } { 5 } - - 6 \frac { 1 } { 10 } =$$

Evaluate

$$4.3$$

Solution Steps

Fraction \frac{-18}{5} can be rewritten as -\frac{18}{5} by extracting the negative sign.

$$1.8-\frac{18}{5}-\left(-\frac{6\times 10+1}{10}\right)$$

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.

$$\frac{9}{5}-\frac{18}{5}-\left(-\frac{6\times 10+1}{10}\right)$$

Since \frac{9}{5} and \frac{18}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{9-18}{5}-\left(-\frac{6\times 10+1}{10}\right)$$

Subtract 18 from 9 to get -9.

$$-\frac{9}{5}-\left(-\frac{6\times 10+1}{10}\right)$$

Multiply 6 and 10 to get 60.

$$-\frac{9}{5}-\left(-\frac{60+1}{10}\right)$$

Add 60 and 1 to get 61.

$$-\frac{9}{5}-\left(-\frac{61}{10}\right)$$

The opposite of -\frac{61}{10} is \frac{61}{10}.

$$-\frac{9}{5}+\frac{61}{10}$$

Least common multiple of 5 and 10 is 10. Convert -\frac{9}{5} and \frac{61}{10} to fractions with denominator 10.

$$-\frac{18}{10}+\frac{61}{10}$$

Since -\frac{18}{10} and \frac{61}{10} have the same denominator, add them by adding their numerators.

$$\frac{-18+61}{10}$$

Add -18 and 61 to get 43.

$$\frac{43}{10}$$

Factor

$$\frac{43}{2 \cdot 5} = 4\frac{3}{10} = 4.3$$