Solve (-2/5)+(-5/6)-(-4.9)-0.6

$$( - \frac { 2 } { 5 } ) + ( - \frac { 5 } { 6 } ) - ( - 4.9 ) - 0.6$$

Evaluate

$$\frac{46}{15}\approx 3.066666667$$

Solution Steps

Least common multiple of 5 and 6 is 30. Convert -\frac{2}{5} and \frac{5}{6} to fractions with denominator 30.

$$-\frac{12}{30}-\frac{25}{30}-\left(-4.9\right)-0.6$$

Since -\frac{12}{30} and \frac{25}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-12-25}{30}-\left(-4.9\right)-0.6$$

Subtract 25 from -12 to get -37.

$$-\frac{37}{30}-\left(-4.9\right)-0.6$$

The opposite of -4.9 is 4.9.

$$-\frac{37}{30}+4.9-0.6$$

Convert decimal number 4.9 to fraction \frac{49}{10}.

$$-\frac{37}{30}+\frac{49}{10}-0.6$$

Least common multiple of 30 and 10 is 30. Convert -\frac{37}{30} and \frac{49}{10} to fractions with denominator 30.

$$-\frac{37}{30}+\frac{147}{30}-0.6$$

Since -\frac{37}{30} and \frac{147}{30} have the same denominator, add them by adding their numerators.

$$\frac{-37+147}{30}-0.6$$

Add -37 and 147 to get 110.

$$\frac{110}{30}-0.6$$

Reduce the fraction \frac{110}{30} to lowest terms by extracting and canceling out 10.

$$\frac{11}{3}-0.6$$

Convert decimal number 0.6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{11}{3}-\frac{3}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{11}{3} and \frac{3}{5} to fractions with denominator 15.

$$\frac{55}{15}-\frac{9}{15}$$

Since \frac{55}{15} and \frac{9}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{55-9}{15}$$

Subtract 9 from 55 to get 46.

$$\frac{46}{15}$$

Factor

$$\frac{2 \cdot 23}{3 \cdot 5} = 3\frac{1}{15} = 3.066666666666667$$