Solve (-31/2)(-51/7)

$$( - 3 \frac { 1 } { 2 } ) ( - 5 \frac { 1 } { 7 } )$$

Evaluate

$$18$$

Solution Steps

Multiply 3 and 2 to get 6.

$$\left(-\frac{6+1}{2}\right)\left(-\frac{5\times 7+1}{7}\right)$$

Add 6 and 1 to get 7.

$$-\frac{7}{2}\left(-\frac{5\times 7+1}{7}\right)$$

Multiply 5 and 7 to get 35.

$$-\frac{7}{2}\left(-\frac{35+1}{7}\right)$$

Add 35 and 1 to get 36.

$$-\frac{7}{2}\left(-\frac{36}{7}\right)$$

Multiply -\frac{7}{2} times -\frac{36}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-7\left(-36\right)}{2\times 7}$$

Do the multiplications in the fraction \frac{-7\left(-36\right)}{2\times 7}.

$$\frac{252}{14}$$

Divide 252 by 14 to get 18.

$$18$$

Factor

$$2\times 3^{2}$$