Solve 1-8/5/2+frac{7{6}}

$$\frac{ 1- \frac{ 8 }{ 5 } }{ 2+ \frac{ 7 }{ 6 } }$$

Evaluate

$$-\frac{18}{95}\approx -0.189473684$$

Solution Steps

Convert 1 to fraction \frac{5}{5}.

$$\frac{\frac{5}{5}-\frac{8}{5}}{2+\frac{7}{6}}$$

Since \frac{5}{5} and \frac{8}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{5-8}{5}}{2+\frac{7}{6}}$$

Subtract 8 from 5 to get -3.

$$\frac{-\frac{3}{5}}{2+\frac{7}{6}}$$

Convert 2 to fraction \frac{12}{6}.

$$\frac{-\frac{3}{5}}{\frac{12}{6}+\frac{7}{6}}$$

Since \frac{12}{6} and \frac{7}{6} have the same denominator, add them by adding their numerators.

$$\frac{-\frac{3}{5}}{\frac{12+7}{6}}$$

Add 12 and 7 to get 19.

$$\frac{-\frac{3}{5}}{\frac{19}{6}}$$

Divide -\frac{3}{5} by \frac{19}{6} by multiplying -\frac{3}{5} by the reciprocal of \frac{19}{6}.

$$-\frac{3}{5}\times \frac{6}{19}$$

Multiply -\frac{3}{5} times \frac{6}{19} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\times 6}{5\times 19}$$

Do the multiplications in the fraction \frac{-3\times 6}{5\times 19}.

$$\frac{-18}{95}$$

Fraction \frac{-18}{95} can be rewritten as -\frac{18}{95} by extracting the negative sign.

$$-\frac{18}{95}$$

Factor

$$-\frac{18}{95} = -0.18947368421052632$$