Solve -(-18/15)-(-27/10)=

$$- ( - 1 \frac { 8 } { 15 } ) - ( - 2 \frac { 7 } { 10 } ) =$$

Evaluate

$$\frac{127}{30}\approx 4.233333333$$

Solution Steps

Multiply 1 and 15 to get 15.

$$-\left(-\frac{15+8}{15}\right)-\left(-\frac{2\times 10+7}{10}\right)$$

Add 15 and 8 to get 23.

$$-\left(-\frac{23}{15}\right)-\left(-\frac{2\times 10+7}{10}\right)$$

The opposite of -\frac{23}{15} is \frac{23}{15}.

$$\frac{23}{15}-\left(-\frac{2\times 10+7}{10}\right)$$

Multiply 2 and 10 to get 20.

$$\frac{23}{15}-\left(-\frac{20+7}{10}\right)$$

Add 20 and 7 to get 27.

$$\frac{23}{15}-\left(-\frac{27}{10}\right)$$

The opposite of -\frac{27}{10} is \frac{27}{10}.

$$\frac{23}{15}+\frac{27}{10}$$

Least common multiple of 15 and 10 is 30. Convert \frac{23}{15} and \frac{27}{10} to fractions with denominator 30.

$$\frac{46}{30}+\frac{81}{30}$$

Since \frac{46}{30} and \frac{81}{30} have the same denominator, add them by adding their numerators.

$$\frac{46+81}{30}$$

Add 46 and 81 to get 127.

$$\frac{127}{30}$$

Factor

$$\frac{127}{2 \cdot 3 \cdot 5} = 4\frac{7}{30} = 4.233333333333333$$