Solve 59/10--91/2=

$$5 \frac { 9 } { 10 } - - 9 \frac { 1 } { 2 } =$$

Evaluate

$$\frac{77}{5}=15.4$$

Solution Steps

Multiply 5 and 10 to get 50.

$$\frac{50+9}{10}-\left(-\frac{9\times 2+1}{2}\right)$$

Add 50 and 9 to get 59.

$$\frac{59}{10}-\left(-\frac{9\times 2+1}{2}\right)$$

Multiply 9 and 2 to get 18.

$$\frac{59}{10}-\left(-\frac{18+1}{2}\right)$$

Add 18 and 1 to get 19.

$$\frac{59}{10}-\left(-\frac{19}{2}\right)$$

The opposite of -\frac{19}{2} is \frac{19}{2}.

$$\frac{59}{10}+\frac{19}{2}$$

Least common multiple of 10 and 2 is 10. Convert \frac{59}{10} and \frac{19}{2} to fractions with denominator 10.

$$\frac{59}{10}+\frac{95}{10}$$

Since \frac{59}{10} and \frac{95}{10} have the same denominator, add them by adding their numerators.

$$\frac{59+95}{10}$$

Add 59 and 95 to get 154.

$$\frac{154}{10}$$

Reduce the fraction \frac{154}{10} to lowest terms by extracting and canceling out 2.

$$\frac{77}{5}$$

Factor

$$\frac{7 \cdot 11}{5} = 15\frac{2}{5} = 15.4$$