Solve 3/4+2/3*(-6/7)

$$\frac { 3 } { 4 } + \frac { 2 } { 3 } \times ( - \frac { 6 } { 7 } )$$

Evaluate

$$\frac{5}{28}\approx 0.178571429$$

Solution Steps

Multiply \frac{2}{3} times -\frac{6}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{3}{4}+\frac{2\left(-6\right)}{3\times 7}$$

Do the multiplications in the fraction \frac{2\left(-6\right)}{3\times 7}.

$$\frac{3}{4}+\frac{-12}{21}$$

Reduce the fraction \frac{-12}{21} to lowest terms by extracting and canceling out 3.

$$\frac{3}{4}-\frac{4}{7}$$

Least common multiple of 4 and 7 is 28. Convert \frac{3}{4} and \frac{4}{7} to fractions with denominator 28.

$$\frac{21}{28}-\frac{16}{28}$$

Since \frac{21}{28} and \frac{16}{28} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-16}{28}$$

Subtract 16 from 21 to get 5.

$$\frac{5}{28}$$

Factor

$$\frac{5}{2 ^ {2} \cdot 7} = 0.17857142857142858$$