Solve (-75/6)div(-93/4)

$$( - 7 \frac { 5 } { 6 } ) \div ( - 9 \frac { 3 } { 4 } )$$

Evaluate

$$\frac{94}{117}\approx 0.803418803$$

Solution Steps

Multiply 7 and 6 to get 42.

$$\frac{-\frac{42+5}{6}}{-\frac{9\times 4+3}{4}}$$

Add 42 and 5 to get 47.

$$\frac{-\frac{47}{6}}{-\frac{9\times 4+3}{4}}$$

Multiply 9 and 4 to get 36.

$$\frac{-\frac{47}{6}}{-\frac{36+3}{4}}$$

Add 36 and 3 to get 39.

$$\frac{-\frac{47}{6}}{-\frac{39}{4}}$$

Divide -\frac{47}{6} by -\frac{39}{4} by multiplying -\frac{47}{6} by the reciprocal of -\frac{39}{4}.

$$-\frac{47}{6}\left(-\frac{4}{39}\right)$$

Multiply -\frac{47}{6} times -\frac{4}{39} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-47\left(-4\right)}{6\times 39}$$

Do the multiplications in the fraction \frac{-47\left(-4\right)}{6\times 39}.

$$\frac{188}{234}$$

Reduce the fraction \frac{188}{234} to lowest terms by extracting and canceling out 2.

$$\frac{94}{117}$$

Factor

$$\frac{2 \cdot 47}{3 ^ {2} \cdot 13} = 0.8034188034188035$$