Solve 99/10--84/5=

$$9 \frac { 9 } { 10 } - - 8 \frac { 4 } { 5 } =$$

Evaluate

$$\frac{187}{10}=18.7$$

Solution Steps

Multiply 9 and 10 to get 90.

$$\frac{90+9}{10}-\left(-\frac{8\times 5+4}{5}\right)$$

Add 90 and 9 to get 99.

$$\frac{99}{10}-\left(-\frac{8\times 5+4}{5}\right)$$

Multiply 8 and 5 to get 40.

$$\frac{99}{10}-\left(-\frac{40+4}{5}\right)$$

Add 40 and 4 to get 44.

$$\frac{99}{10}-\left(-\frac{44}{5}\right)$$

The opposite of -\frac{44}{5} is \frac{44}{5}.

$$\frac{99}{10}+\frac{44}{5}$$

Least common multiple of 10 and 5 is 10. Convert \frac{99}{10} and \frac{44}{5} to fractions with denominator 10.

$$\frac{99}{10}+\frac{88}{10}$$

Since \frac{99}{10} and \frac{88}{10} have the same denominator, add them by adding their numerators.

$$\frac{99+88}{10}$$

Add 99 and 88 to get 187.

$$\frac{187}{10}$$

Factor

$$\frac{11 \cdot 17}{2 \cdot 5} = 18\frac{7}{10} = 18.7$$