Solve -1/5+4{7-frac{1/2}}

$$- \frac { 1 } { 5 + \frac { 4 } { 7 - \frac { 1 } { 2 } } }$$

Evaluate

$$-\frac{13}{73}\approx -0.178082192$$

Solution Steps

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

$$-\frac{1}{5+\frac{4}{\frac{14}{2}-\frac{1}{2}}}$$

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

$$-\frac{1}{5+\frac{4}{\frac{14-1}{2}}}$$

Subtract 1 from 14 to get 13.

$$-\frac{1}{5+\frac{4}{\frac{13}{2}}}$$

Divide 4 by \frac{13}{2} by multiplying 4 by the reciprocal of \frac{13}{2}.

$$-\frac{1}{5+4\times \frac{2}{13}}$$

Express 4\times \frac{2}{13} as a single fraction.

$$-\frac{1}{5+\frac{4\times 2}{13}}$$

Multiply 4 and 2 to get 8.

$$-\frac{1}{5+\frac{8}{13}}$$

Convert 5 to fraction \frac{65}{13}.

$$-\frac{1}{\frac{65}{13}+\frac{8}{13}}$$

Since \frac{65}{13} and \frac{8}{13} have the same denominator, add them by adding their numerators.

$$-\frac{1}{\frac{65+8}{13}}$$

Add 65 and 8 to get 73.

$$-\frac{1}{\frac{73}{13}}$$

Divide 1 by \frac{73}{13} by multiplying 1 by the reciprocal of \frac{73}{13}.

$$-1\times \frac{13}{73}$$

Multiply 1 and \frac{13}{73} to get \frac{13}{73}.

$$-\frac{13}{73}$$

Factor

$$-\frac{13}{73} = -0.1780821917808219$$