Solve 3/frac{2{4}-7}

$$\frac { 3 } { \frac { 2 } { 4 } - 7 }$$

Evaluate

$$-\frac{6}{13}\approx -0.461538462$$

Solution Steps

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

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

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

$$\frac{3}{\frac{1}{2}-\frac{14}{2}}$$

Since \frac{1}{2} and \frac{14}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3}{\frac{1-14}{2}}$$

Subtract 14 from 1 to get -13.

$$\frac{3}{-\frac{13}{2}}$$

Divide 3 by -\frac{13}{2} by multiplying 3 by the reciprocal of -\frac{13}{2}.

$$3\left(-\frac{2}{13}\right)$$

Express 3\left(-\frac{2}{13}\right) as a single fraction.

$$\frac{3\left(-2\right)}{13}$$

Multiply 3 and -2 to get -6.

$$\frac{-6}{13}$$

Fraction \frac{-6}{13} can be rewritten as -\frac{6}{13} by extracting the negative sign.

$$-\frac{6}{13}$$

Factor

$$-\frac{6}{13} = -0.46153846153846156$$