Solve 45/8:(-21/6)

$$4 \frac { 5 } { 8 } : ( - 2 \frac { 1 } { 6 } )$$

Evaluate

$$-\frac{111}{52}\approx -2.134615385$$

Solution Steps

Multiply 4 and 8 to get 32.

$$\frac{\frac{32+5}{8}}{-\frac{2\times 6+1}{6}}$$

Add 32 and 5 to get 37.

$$\frac{\frac{37}{8}}{-\frac{2\times 6+1}{6}}$$

Multiply 2 and 6 to get 12.

$$\frac{\frac{37}{8}}{-\frac{12+1}{6}}$$

Add 12 and 1 to get 13.

$$\frac{\frac{37}{8}}{-\frac{13}{6}}$$

Divide \frac{37}{8} by -\frac{13}{6} by multiplying \frac{37}{8} by the reciprocal of -\frac{13}{6}.

$$\frac{37}{8}\left(-\frac{6}{13}\right)$$

Multiply \frac{37}{8} times -\frac{6}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{37\left(-6\right)}{8\times 13}$$

Do the multiplications in the fraction \frac{37\left(-6\right)}{8\times 13}.

$$\frac{-222}{104}$$

Reduce the fraction \frac{-222}{104} to lowest terms by extracting and canceling out 2.

$$-\frac{111}{52}$$

Factor

$$-\frac{111}{52} = -2\frac{7}{52} = -2.1346153846153846$$