Solve (-1/8-11/6)div(-1/4)

$$( - \frac { 1 } { 8 } - 1 \frac { 1 } { 6 } ) \div ( - \frac { 1 } { 4 } )$$

Evaluate

$$\frac{31}{6}\approx 5.166666667$$

Solution Steps

Multiply 1 and 6 to get 6.

$$\frac{-\frac{1}{8}-\frac{6+1}{6}}{-\frac{1}{4}}$$

Add 6 and 1 to get 7.

$$\frac{-\frac{1}{8}-\frac{7}{6}}{-\frac{1}{4}}$$

Least common multiple of 8 and 6 is 24. Convert -\frac{1}{8} and \frac{7}{6} to fractions with denominator 24.

$$\frac{-\frac{3}{24}-\frac{28}{24}}{-\frac{1}{4}}$$

Since -\frac{3}{24} and \frac{28}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{-3-28}{24}}{-\frac{1}{4}}$$

Subtract 28 from -3 to get -31.

$$\frac{-\frac{31}{24}}{-\frac{1}{4}}$$

Divide -\frac{31}{24} by -\frac{1}{4} by multiplying -\frac{31}{24} by the reciprocal of -\frac{1}{4}.

$$-\frac{31}{24}\left(-4\right)$$

Express -\frac{31}{24}\left(-4\right) as a single fraction.

$$\frac{-31\left(-4\right)}{24}$$

Multiply -31 and -4 to get 124.

$$\frac{124}{24}$$

Reduce the fraction \frac{124}{24} to lowest terms by extracting and canceling out 4.

$$\frac{31}{6}$$

Factor

$$\frac{31}{2 \cdot 3} = 5\frac{1}{6} = 5.166666666666667$$