Solve -13/8*23/22

$$- 1 \frac { 3 } { 8 } \times 2 \frac { 3 } { 22 }$$

Evaluate

$$-\frac{47}{16}=-2.9375$$

Solution Steps

Multiply 1 and 8 to get 8.

$$\left(-\frac{8+3}{8}\right)\times \frac{2\times 22+3}{22}$$

Add 8 and 3 to get 11.

$$-\frac{11}{8}\times \frac{2\times 22+3}{22}$$

Multiply 2 and 22 to get 44.

$$-\frac{11}{8}\times \frac{44+3}{22}$$

Add 44 and 3 to get 47.

$$-\frac{11}{8}\times \frac{47}{22}$$

Multiply -\frac{11}{8} times \frac{47}{22} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-11\times 47}{8\times 22}$$

Do the multiplications in the fraction \frac{-11\times 47}{8\times 22}.

$$\frac{-517}{176}$$

Reduce the fraction \frac{-517}{176} to lowest terms by extracting and canceling out 11.

$$-\frac{47}{16}$$

Factor

$$-\frac{47}{16} = -2\frac{15}{16} = -2.9375$$