Solve 6/1-frac{9{7}}

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

Evaluate

$$-21$$

Solution Steps

Convert 1 to fraction \frac{7}{7}.

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

Since \frac{7}{7} and \frac{9}{7} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 9 from 7 to get -2.

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

Divide 6 by -\frac{2}{7} by multiplying 6 by the reciprocal of -\frac{2}{7}.

$$6\left(-\frac{7}{2}\right)$$

Express 6\left(-\frac{7}{2}\right) as a single fraction.

$$\frac{6\left(-7\right)}{2}$$

Multiply 6 and -7 to get -42.

$$\frac{-42}{2}$$

Divide -42 by 2 to get -21.

$$-21$$

Factor

$$-21$$