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

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

Evaluate

$$\frac{41}{2}=20.5$$

Solution Steps

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

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

Convert 18 to fraction \frac{90}{5}.

$$\frac{90}{5}-\frac{18}{5}-\left(-\frac{6\times 10+1}{10}\right)$$

Since \frac{90}{5} and \frac{18}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{90-18}{5}-\left(-\frac{6\times 10+1}{10}\right)$$

Subtract 18 from 90 to get 72.

$$\frac{72}{5}-\left(-\frac{6\times 10+1}{10}\right)$$

Multiply 6 and 10 to get 60.

$$\frac{72}{5}-\left(-\frac{60+1}{10}\right)$$

Add 60 and 1 to get 61.

$$\frac{72}{5}-\left(-\frac{61}{10}\right)$$

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

$$\frac{72}{5}+\frac{61}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{72}{5} and \frac{61}{10} to fractions with denominator 10.

$$\frac{144}{10}+\frac{61}{10}$$

Since \frac{144}{10} and \frac{61}{10} have the same denominator, add them by adding their numerators.

$$\frac{144+61}{10}$$

Add 144 and 61 to get 205.

$$\frac{205}{10}$$

Reduce the fraction \frac{205}{10} to lowest terms by extracting and canceling out 5.

$$\frac{41}{2}$$

Factor

$$\frac{41}{2} = 20\frac{1}{2} = 20.5$$