Solve (-82/3)div(-51/4)

$$( - 8 \frac { 2 } { 3 } ) \div ( - 5 \frac { 1 } { 4 } )$$

Evaluate

$$\frac{104}{63}\approx 1.650793651$$

Solution Steps

Multiply 8 and 3 to get 24.

$$\frac{-\frac{24+2}{3}}{-\frac{5\times 4+1}{4}}$$

Add 24 and 2 to get 26.

$$\frac{-\frac{26}{3}}{-\frac{5\times 4+1}{4}}$$

Multiply 5 and 4 to get 20.

$$\frac{-\frac{26}{3}}{-\frac{20+1}{4}}$$

Add 20 and 1 to get 21.

$$\frac{-\frac{26}{3}}{-\frac{21}{4}}$$

Divide -\frac{26}{3} by -\frac{21}{4} by multiplying -\frac{26}{3} by the reciprocal of -\frac{21}{4}.

$$-\frac{26}{3}\left(-\frac{4}{21}\right)$$

Multiply -\frac{26}{3} times -\frac{4}{21} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-26\left(-4\right)}{3\times 21}$$

Do the multiplications in the fraction \frac{-26\left(-4\right)}{3\times 21}.

$$\frac{104}{63}$$

Factor

$$\frac{2 ^ {3} \cdot 13}{3 ^ {2} \cdot 7} = 1\frac{41}{63} = 1.6507936507936507$$