Solve -31/2*-53/4

$$- 3 \frac { 1 } { 2 } \cdot - 5 \frac { 3 } { 4 }$$

Evaluate

$$\frac{161}{8}=20.125$$

Solution Steps

Multiply 3 and 2 to get 6.

$$\left(-\frac{6+1}{2}\right)\left(-\frac{5\times 4+3}{4}\right)$$

Add 6 and 1 to get 7.

$$-\frac{7}{2}\left(-\frac{5\times 4+3}{4}\right)$$

Multiply 5 and 4 to get 20.

$$-\frac{7}{2}\left(-\frac{20+3}{4}\right)$$

Add 20 and 3 to get 23.

$$-\frac{7}{2}\left(-\frac{23}{4}\right)$$

Multiply -\frac{7}{2} times -\frac{23}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-7\left(-23\right)}{2\times 4}$$

Do the multiplications in the fraction \frac{-7\left(-23\right)}{2\times 4}.

$$\frac{161}{8}$$

Factor

$$\frac{7 \cdot 23}{2 ^ {3}} = 20\frac{1}{8} = 20.125$$