Solve 5/8+11/3div(-5/6)

$$\frac { 5 } { 8 } + 1 \frac { 1 } { 3 } \div ( - \frac { 5 } { 6 } )$$

Evaluate

$$-\frac{39}{40}=-0.975$$

Solution Steps

Divide \frac{1\times 3+1}{3} by -\frac{5}{6} by multiplying \frac{1\times 3+1}{3} by the reciprocal of -\frac{5}{6}.

$$\frac{5}{8}+\frac{\left(1\times 3+1\right)\times 6}{3\left(-5\right)}$$

Cancel out 3 in both numerator and denominator.

$$\frac{5}{8}+\frac{2\left(1+3\right)}{-5}$$

Add 1 and 3 to get 4.

$$\frac{5}{8}+\frac{2\times 4}{-5}$$

Multiply 2 and 4 to get 8.

$$\frac{5}{8}+\frac{8}{-5}$$

Fraction \frac{8}{-5} can be rewritten as -\frac{8}{5} by extracting the negative sign.

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

Least common multiple of 8 and 5 is 40. Convert \frac{5}{8} and \frac{8}{5} to fractions with denominator 40.

$$\frac{25}{40}-\frac{64}{40}$$

Since \frac{25}{40} and \frac{64}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-64}{40}$$

Subtract 64 from 25 to get -39.

$$-\frac{39}{40}$$

Factor

$$-\frac{39}{40} = -0.975$$