Solve 13/5+(-27/10)?

$$1 \frac { 3 } { 5 } + ( - 2 \frac { 7 } { 10 } ) ?$$

Evaluate

$$-\frac{11}{10}=-1.1$$

Solution Steps

Multiply 1 and 5 to get 5.

$$\frac{5+3}{5}-\frac{2\times 10+7}{10}$$

Add 5 and 3 to get 8.

$$\frac{8}{5}-\frac{2\times 10+7}{10}$$

Multiply 2 and 10 to get 20.

$$\frac{8}{5}-\frac{20+7}{10}$$

Add 20 and 7 to get 27.

$$\frac{8}{5}-\frac{27}{10}$$

Least common multiple of 5 and 10 is 10. Convert \frac{8}{5} and \frac{27}{10} to fractions with denominator 10.

$$\frac{16}{10}-\frac{27}{10}$$

Since \frac{16}{10} and \frac{27}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-27}{10}$$

Subtract 27 from 16 to get -11.

$$-\frac{11}{10}$$

Factor

$$-\frac{11}{10} = -1\frac{1}{10} = -1.1$$