Solve -1/10--61/2=

$$\frac { - 1 } { 10 } - - 6 \frac { 1 } { 2 } =$$

Evaluate

$$\frac{32}{5}=6.4$$

Solution Steps

Fraction \frac{-1}{10} can be rewritten as -\frac{1}{10} by extracting the negative sign.

$$-\frac{1}{10}-\left(-\frac{6\times 2+1}{2}\right)$$

Multiply 6 and 2 to get 12.

$$-\frac{1}{10}-\left(-\frac{12+1}{2}\right)$$

Add 12 and 1 to get 13.

$$-\frac{1}{10}-\left(-\frac{13}{2}\right)$$

The opposite of -\frac{13}{2} is \frac{13}{2}.

$$-\frac{1}{10}+\frac{13}{2}$$

Least common multiple of 10 and 2 is 10. Convert -\frac{1}{10} and \frac{13}{2} to fractions with denominator 10.

$$-\frac{1}{10}+\frac{65}{10}$$

Since -\frac{1}{10} and \frac{65}{10} have the same denominator, add them by adding their numerators.

$$\frac{-1+65}{10}$$

Add -1 and 65 to get 64.

$$\frac{64}{10}$$

Reduce the fraction \frac{64}{10} to lowest terms by extracting and canceling out 2.

$$\frac{32}{5}$$

Factor

$$\frac{2 ^ {5}}{5} = 6\frac{2}{5} = 6.4$$