Solve -7/6(4/3)+4/6div5/6

$$- \frac { 7 } { 6 } ( \frac { 4 } { 3 } ) + \frac { 4 } { 6 } \div \frac { 5 } { 6 }$$

Evaluate

$$-\frac{34}{45}\approx -0.755555556$$

Solution Steps

Multiply -\frac{7}{6} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-7\times 4}{6\times 3}+\frac{\frac{4}{6}}{\frac{5}{6}}$$

Do the multiplications in the fraction \frac{-7\times 4}{6\times 3}.

$$\frac{-28}{18}+\frac{\frac{4}{6}}{\frac{5}{6}}$$

Reduce the fraction \frac{-28}{18} to lowest terms by extracting and canceling out 2.

$$-\frac{14}{9}+\frac{\frac{4}{6}}{\frac{5}{6}}$$

Divide \frac{4}{6} by \frac{5}{6} by multiplying \frac{4}{6} by the reciprocal of \frac{5}{6}.

$$-\frac{14}{9}+\frac{4\times 6}{6\times 5}$$

Cancel out 2\times 3 in both numerator and denominator.

$$-\frac{14}{9}+\frac{2\times 2}{5}$$

Multiply 2 and 2 to get 4.

$$-\frac{14}{9}+\frac{4}{5}$$

Least common multiple of 9 and 5 is 45. Convert -\frac{14}{9} and \frac{4}{5} to fractions with denominator 45.

$$-\frac{70}{45}+\frac{36}{45}$$

Since -\frac{70}{45} and \frac{36}{45} have the same denominator, add them by adding their numerators.

$$\frac{-70+36}{45}$$

Add -70 and 36 to get -34.

$$-\frac{34}{45}$$

Factor

$$-\frac{34}{45} = -0.7555555555555555$$