Solve -34/10+27/10=

$$- 3 \frac { 4 } { 10 } + 2 \frac { 7 } { 10 } =$$

Evaluate

$$-\frac{7}{10}=-0.7$$

Solution Steps

Multiply 3 and 10 to get 30.

$$-\frac{30+4}{10}+\frac{2\times 10+7}{10}$$

Add 30 and 4 to get 34.

$$-\frac{34}{10}+\frac{2\times 10+7}{10}$$

Reduce the fraction \frac{34}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{17}{5}+\frac{2\times 10+7}{10}$$

Multiply 2 and 10 to get 20.

$$-\frac{17}{5}+\frac{20+7}{10}$$

Add 20 and 7 to get 27.

$$-\frac{17}{5}+\frac{27}{10}$$

Least common multiple of 5 and 10 is 10. Convert -\frac{17}{5} and \frac{27}{10} to fractions with denominator 10.

$$-\frac{34}{10}+\frac{27}{10}$$

Since -\frac{34}{10} and \frac{27}{10} have the same denominator, add them by adding their numerators.

$$\frac{-34+27}{10}$$

Add -34 and 27 to get -7.

$$-\frac{7}{10}$$

Factor

$$-\frac{7}{10} = -0.7$$