Solve (-31/9)*(-15/7)

$$( - 3 \frac { 1 } { 9 } ) \times ( - 1 \frac { 5 } { 7 } )$$

Evaluate

$$\frac{16}{3}\approx 5.333333333$$

Solution Steps

Multiply 3 and 9 to get 27.

$$\left(-\frac{27+1}{9}\right)\left(-\frac{1\times 7+5}{7}\right)$$

Add 27 and 1 to get 28.

$$-\frac{28}{9}\left(-\frac{7+5}{7}\right)$$

Add 7 and 5 to get 12.

$$-\frac{28}{9}\left(-\frac{12}{7}\right)$$

Multiply -\frac{28}{9} times -\frac{12}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-28\left(-12\right)}{9\times 7}$$

Do the multiplications in the fraction \frac{-28\left(-12\right)}{9\times 7}.

$$\frac{336}{63}$$

Reduce the fraction \frac{336}{63} to lowest terms by extracting and canceling out 21.

$$\frac{16}{3}$$

Factor

$$\frac{2 ^ {4}}{3} = 5\frac{1}{3} = 5.333333333333333$$