Solve -1/3+7/2div(-6/9)=

$$- \frac { 1 } { 3 } + \frac { 7 } { 2 } \div ( - \frac { 6 } { 9 } ) =$$

Evaluate

$$-\frac{67}{12}\approx -5.583333333$$

Solution Steps

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$-\frac{1}{3}+\frac{\frac{7}{2}}{-\frac{2}{3}}$$

Divide \frac{7}{2} by -\frac{2}{3} by multiplying \frac{7}{2} by the reciprocal of -\frac{2}{3}.

$$-\frac{1}{3}+\frac{7}{2}\left(-\frac{3}{2}\right)$$

Multiply \frac{7}{2} times -\frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{1}{3}+\frac{7\left(-3\right)}{2\times 2}$$

Do the multiplications in the fraction \frac{7\left(-3\right)}{2\times 2}.

$$-\frac{1}{3}+\frac{-21}{4}$$

Fraction \frac{-21}{4} can be rewritten as -\frac{21}{4} by extracting the negative sign.

$$-\frac{1}{3}-\frac{21}{4}$$

Least common multiple of 3 and 4 is 12. Convert -\frac{1}{3} and \frac{21}{4} to fractions with denominator 12.

$$-\frac{4}{12}-\frac{63}{12}$$

Since -\frac{4}{12} and \frac{63}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-4-63}{12}$$

Subtract 63 from -4 to get -67.

$$-\frac{67}{12}$$

Factor

$$-\frac{67}{12} = -5\frac{7}{12} = -5.583333333333333$$