Solve 8/9*27*7/18

$$\frac { 8 } { 9 } \times 27 \times \frac { 7 } { 18 }$$

Evaluate

$$\frac{28}{3}\approx 9.333333333$$

Solution Steps

Express \frac{8}{9}\times 27 as a single fraction.

$$\frac{8\times 27}{9}\times \frac{7}{18}$$

Multiply 8 and 27 to get 216.

$$\frac{216}{9}\times \frac{7}{18}$$

Divide 216 by 9 to get 24.

$$24\times \frac{7}{18}$$

Express 24\times \frac{7}{18} as a single fraction.

$$\frac{24\times 7}{18}$$

Multiply 24 and 7 to get 168.

$$\frac{168}{18}$$

Reduce the fraction \frac{168}{18} to lowest terms by extracting and canceling out 6.

$$\frac{28}{3}$$

Factor

$$\frac{2 ^ {2} \cdot 7}{3} = 9\frac{1}{3} = 9.333333333333334$$