Solve 1.5+51/4div(-31/2)

$$1.5+5 \frac{ 1 }{ 4 } \div (-3 \frac{ 1 }{ 2 } )$$

Evaluate

$$0$$

Solution Steps

Multiply 5 and 4 to get 20.

$$1.5+\frac{\frac{20+1}{4}}{-\frac{3\times 2+1}{2}}$$

Add 20 and 1 to get 21.

$$1.5+\frac{\frac{21}{4}}{-\frac{3\times 2+1}{2}}$$

Multiply 3 and 2 to get 6.

$$1.5+\frac{\frac{21}{4}}{-\frac{6+1}{2}}$$

Add 6 and 1 to get 7.

$$1.5+\frac{\frac{21}{4}}{-\frac{7}{2}}$$

Divide \frac{21}{4} by -\frac{7}{2} by multiplying \frac{21}{4} by the reciprocal of -\frac{7}{2}.

$$1.5+\frac{21}{4}\left(-\frac{2}{7}\right)$$

Multiply \frac{21}{4} times -\frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

$$1.5+\frac{21\left(-2\right)}{4\times 7}$$

Do the multiplications in the fraction \frac{21\left(-2\right)}{4\times 7}.

$$1.5+\frac{-42}{28}$$

Reduce the fraction \frac{-42}{28} to lowest terms by extracting and canceling out 14.

$$1.5-\frac{3}{2}$$

Subtract \frac{3}{2} from 1.5 to get 0.

$$0$$

Factor

$$0$$