Solve -15/7*-21/2

$$- 1 \frac { 5 } { 7 } \cdot - 2 \frac { 1 } { 2 }$$

Evaluate

$$\frac{30}{7}\approx 4.285714286$$

Solution Steps

Multiply 1 and 7 to get 7.

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

Add 7 and 5 to get 12.

$$-\frac{12}{7}\left(-\frac{2\times 2+1}{2}\right)$$

Multiply 2 and 2 to get 4.

$$-\frac{12}{7}\left(-\frac{4+1}{2}\right)$$

Add 4 and 1 to get 5.

$$-\frac{12}{7}\left(-\frac{5}{2}\right)$$

Multiply -\frac{12}{7} times -\frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-12\left(-5\right)}{7\times 2}$$

Do the multiplications in the fraction \frac{-12\left(-5\right)}{7\times 2}.

$$\frac{60}{14}$$

Reduce the fraction \frac{60}{14} to lowest terms by extracting and canceling out 2.

$$\frac{30}{7}$$

Factor

$$\frac{2 \cdot 3 \cdot 5}{7} = 4\frac{2}{7} = 4.285714285714286$$