Solve 11/6div(-25/8)-7/18

$$1 \frac { 1 } { 6 } \div ( - 2 \frac { 5 } { 8 } ) - \frac { 7 } { 18 }$$

Evaluate

$$-\frac{5}{6}\approx -0.833333333$$

Solution Steps

Multiply 1 and 6 to get 6.

$$\frac{\frac{6+1}{6}}{-\frac{2\times 8+5}{8}}-\frac{7}{18}$$

Add 6 and 1 to get 7.

$$\frac{\frac{7}{6}}{-\frac{2\times 8+5}{8}}-\frac{7}{18}$$

Multiply 2 and 8 to get 16.

$$\frac{\frac{7}{6}}{-\frac{16+5}{8}}-\frac{7}{18}$$

Add 16 and 5 to get 21.

$$\frac{\frac{7}{6}}{-\frac{21}{8}}-\frac{7}{18}$$

Divide \frac{7}{6} by -\frac{21}{8} by multiplying \frac{7}{6} by the reciprocal of -\frac{21}{8}.

$$\frac{7}{6}\left(-\frac{8}{21}\right)-\frac{7}{18}$$

Multiply \frac{7}{6} times -\frac{8}{21} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\left(-8\right)}{6\times 21}-\frac{7}{18}$$

Do the multiplications in the fraction \frac{7\left(-8\right)}{6\times 21}.

$$\frac{-56}{126}-\frac{7}{18}$$

Reduce the fraction \frac{-56}{126} to lowest terms by extracting and canceling out 14.

$$-\frac{4}{9}-\frac{7}{18}$$

Least common multiple of 9 and 18 is 18. Convert -\frac{4}{9} and \frac{7}{18} to fractions with denominator 18.

$$-\frac{8}{18}-\frac{7}{18}$$

Since -\frac{8}{18} and \frac{7}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-8-7}{18}$$

Subtract 7 from -8 to get -15.

$$\frac{-15}{18}$$

Reduce the fraction \frac{-15}{18} to lowest terms by extracting and canceling out 3.

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

Factor

$$-\frac{5}{6} = -0.8333333333333334$$