Solve (-7/9):7/6-1/6=

$$( - \frac { 7 } { 9 } ) : \frac { 7 } { 6 } - \frac { 1 } { 6 } =$$

Evaluate

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

Solution Steps

Divide -\frac{7}{9} by \frac{7}{6} by multiplying -\frac{7}{9} by the reciprocal of \frac{7}{6}.

$$-\frac{7}{9}\times \frac{6}{7}-\frac{1}{6}$$

Multiply -\frac{7}{9} times \frac{6}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-7\times 6}{9\times 7}-\frac{1}{6}$$

Do the multiplications in the fraction \frac{-7\times 6}{9\times 7}.

$$\frac{-42}{63}-\frac{1}{6}$$

Reduce the fraction \frac{-42}{63} to lowest terms by extracting and canceling out 21.

$$-\frac{2}{3}-\frac{1}{6}$$

Least common multiple of 3 and 6 is 6. Convert -\frac{2}{3} and \frac{1}{6} to fractions with denominator 6.

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

Since -\frac{4}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from -4 to get -5.

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

Factor

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