Solve 1/2*frac{5{70}-5}

$$\frac { 1 } { 2 \times \frac { 5 } { 70 } - 5 }$$

Evaluate

$$-\frac{7}{34}\approx -0.205882353$$

Solution Steps

Reduce the fraction \frac{5}{70} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2\times \frac{1}{14}-5}$$

Multiply 2 and \frac{1}{14} to get \frac{2}{14}.

$$\frac{1}{\frac{2}{14}-5}$$

Reduce the fraction \frac{2}{14} to lowest terms by extracting and canceling out 2.

$$\frac{1}{\frac{1}{7}-5}$$

Convert 5 to fraction \frac{35}{7}.

$$\frac{1}{\frac{1}{7}-\frac{35}{7}}$$

Since \frac{1}{7} and \frac{35}{7} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{\frac{1-35}{7}}$$

Subtract 35 from 1 to get -34.

$$\frac{1}{-\frac{34}{7}}$$

Divide 1 by -\frac{34}{7} by multiplying 1 by the reciprocal of -\frac{34}{7}.

$$1\left(-\frac{7}{34}\right)$$

Multiply 1 and -\frac{7}{34} to get -\frac{7}{34}.

$$-\frac{7}{34}$$

Factor

$$-\frac{7}{34} = -0.20588235294117646$$