Solve 3div(6/7-2/

$$3 \div ( \frac{ 6 }{ 7 } - \frac{ 2 }{ }$$

Evaluate

$$-\frac{21}{8}=-2.625$$

Solution Steps

Anything divided by one gives itself.

$$\frac{3}{\frac{6}{7}-2}$$

Convert 2 to fraction \frac{14}{7}.

$$\frac{3}{\frac{6}{7}-\frac{14}{7}}$$

Since \frac{6}{7} and \frac{14}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3}{\frac{6-14}{7}}$$

Subtract 14 from 6 to get -8.

$$\frac{3}{-\frac{8}{7}}$$

Divide 3 by -\frac{8}{7} by multiplying 3 by the reciprocal of -\frac{8}{7}.

$$3\left(-\frac{7}{8}\right)$$

Express 3\left(-\frac{7}{8}\right) as a single fraction.

$$\frac{3\left(-7\right)}{8}$$

Multiply 3 and -7 to get -21.

$$\frac{-21}{8}$$

Fraction \frac{-21}{8} can be rewritten as -\frac{21}{8} by extracting the negative sign.

$$-\frac{21}{8}$$

Factor

$$-\frac{21}{8} = -2\frac{5}{8} = -2.625$$