Solve 5/6+2/1-frac{9{7}}

$$\frac{ \frac{ 5 }{ 6 } +2 }{ 1- \frac{ 9 }{ 7 } }$$

Evaluate

$$-\frac{119}{12}\approx -9.916666667$$

Solution Steps

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

$$\frac{\frac{5}{6}+\frac{12}{6}}{1-\frac{9}{7}}$$

Since \frac{5}{6} and \frac{12}{6} have the same denominator, add them by adding their numerators.

$$\frac{\frac{5+12}{6}}{1-\frac{9}{7}}$$

Add 5 and 12 to get 17.

$$\frac{\frac{17}{6}}{1-\frac{9}{7}}$$

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

$$\frac{\frac{17}{6}}{\frac{7}{7}-\frac{9}{7}}$$

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

$$\frac{\frac{17}{6}}{\frac{7-9}{7}}$$

Subtract 9 from 7 to get -2.

$$\frac{\frac{17}{6}}{-\frac{2}{7}}$$

Divide \frac{17}{6} by -\frac{2}{7} by multiplying \frac{17}{6} by the reciprocal of -\frac{2}{7}.

$$\frac{17}{6}\left(-\frac{7}{2}\right)$$

Multiply \frac{17}{6} times -\frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17\left(-7\right)}{6\times 2}$$

Do the multiplications in the fraction \frac{17\left(-7\right)}{6\times 2}.

$$\frac{-119}{12}$$

Fraction \frac{-119}{12} can be rewritten as -\frac{119}{12} by extracting the negative sign.

$$-\frac{119}{12}$$

Factor

$$-\frac{119}{12} = -9\frac{11}{12} = -9.916666666666666$$