Solve 131/6div(-82/5)

$$13 \frac { 1 } { 6 } \div ( - 8 \frac { 2 } { 5 } )$$

Evaluate

$$-\frac{395}{252}\approx -1.567460317$$

Solution Steps

Multiply 13 and 6 to get 78.

$$\frac{\frac{78+1}{6}}{-\frac{8\times 5+2}{5}}$$

Add 78 and 1 to get 79.

$$\frac{\frac{79}{6}}{-\frac{8\times 5+2}{5}}$$

Multiply 8 and 5 to get 40.

$$\frac{\frac{79}{6}}{-\frac{40+2}{5}}$$

Add 40 and 2 to get 42.

$$\frac{\frac{79}{6}}{-\frac{42}{5}}$$

Divide \frac{79}{6} by -\frac{42}{5} by multiplying \frac{79}{6} by the reciprocal of -\frac{42}{5}.

$$\frac{79}{6}\left(-\frac{5}{42}\right)$$

Multiply \frac{79}{6} times -\frac{5}{42} by multiplying numerator times numerator and denominator times denominator.

$$\frac{79\left(-5\right)}{6\times 42}$$

Do the multiplications in the fraction \frac{79\left(-5\right)}{6\times 42}.

$$\frac{-395}{252}$$

Fraction \frac{-395}{252} can be rewritten as -\frac{395}{252} by extracting the negative sign.

$$-\frac{395}{252}$$

Factor

$$-\frac{395}{252} = -1\frac{143}{252} = -1.5674603174603174$$