Solve -7/5-(-2)*5/6=

$$- \frac { 7 } { 5 } - ( - 2 ) \cdot \frac { 5 } { 6 } =$$

Evaluate

$$\frac{4}{15}\approx 0.266666667$$

Solution Steps

Express -2\times \frac{5}{6} as a single fraction.

$$-\frac{7}{5}-\frac{-2\times 5}{6}$$

Multiply -2 and 5 to get -10.

$$-\frac{7}{5}-\frac{-10}{6}$$

Reduce the fraction \frac{-10}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{7}{5}-\left(-\frac{5}{3}\right)$$

The opposite of -\frac{5}{3} is \frac{5}{3}.

$$-\frac{7}{5}+\frac{5}{3}$$

Least common multiple of 5 and 3 is 15. Convert -\frac{7}{5} and \frac{5}{3} to fractions with denominator 15.

$$-\frac{21}{15}+\frac{25}{15}$$

Since -\frac{21}{15} and \frac{25}{15} have the same denominator, add them by adding their numerators.

$$\frac{-21+25}{15}$$

Add -21 and 25 to get 4.

$$\frac{4}{15}$$

Factor

$$\frac{2 ^ {2}}{3 \cdot 5} = 0.26666666666666666$$