Solve =2/3*23/7*3*3*3/2*2*2

$$= \frac { 2 } { 3 } \times \frac { 23 } { 7 } \times \frac { 3 \times 3 \times 3 } { 2 \times 2 \times 2 }$$

Evaluate

$$\frac{207}{28}\approx 7.392857143$$

Solution Steps

Multiply \frac{2}{3} times \frac{23}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 23}{3\times 7}\times \frac{3\times 3\times 3}{2\times 2\times 2}$$

Do the multiplications in the fraction \frac{2\times 23}{3\times 7}.

$$\frac{46}{21}\times \frac{3\times 3\times 3}{2\times 2\times 2}$$

Multiply 3 and 3 to get 9.

$$\frac{46}{21}\times \frac{9\times 3}{2\times 2\times 2}$$

Multiply 9 and 3 to get 27.

$$\frac{46}{21}\times \frac{27}{2\times 2\times 2}$$

Multiply 2 and 2 to get 4.

$$\frac{46}{21}\times \frac{27}{4\times 2}$$

Multiply 4 and 2 to get 8.

$$\frac{46}{21}\times \frac{27}{8}$$

Multiply \frac{46}{21} times \frac{27}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{46\times 27}{21\times 8}$$

Do the multiplications in the fraction \frac{46\times 27}{21\times 8}.

$$\frac{1242}{168}$$

Reduce the fraction \frac{1242}{168} to lowest terms by extracting and canceling out 6.

$$\frac{207}{28}$$

Factor

$$\frac{3 ^ {2} \cdot 23}{2 ^ {2} \cdot 7} = 7\frac{11}{28} = 7.392857142857143$$