Solve 3(-2/15)-3/10

$$3 ( - \frac { 2 } { 15 } ) - \frac { 3 } { 10 }$$

Evaluate

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

Solution Steps

Express 3\left(-\frac{2}{15}\right) as a single fraction.

$$\frac{3\left(-2\right)}{15}-\frac{3}{10}$$

Multiply 3 and -2 to get -6.

$$\frac{-6}{15}-\frac{3}{10}$$

Reduce the fraction \frac{-6}{15} to lowest terms by extracting and canceling out 3.

$$-\frac{2}{5}-\frac{3}{10}$$

Least common multiple of 5 and 10 is 10. Convert -\frac{2}{5} and \frac{3}{10} to fractions with denominator 10.

$$-\frac{4}{10}-\frac{3}{10}$$

Since -\frac{4}{10} and \frac{3}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-4-3}{10}$$

Subtract 3 from -4 to get -7.

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

Factor

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