Solve 8*8/9*51/744/7

$$8 \cdot \frac { 8 } { 9 } \times 5 \frac { 1 } { 7 } 4 \frac { 4 } { 7 }$$

Evaluate

$$\frac{8192}{49}\approx 167.183673469$$

Solution Steps

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

$$\frac{8\times 8}{9}\times \frac{5\times 7+1}{7}\times \frac{4\times 7+4}{7}$$

Multiply 8 and 8 to get 64.

$$\frac{64}{9}\times \frac{5\times 7+1}{7}\times \frac{4\times 7+4}{7}$$

Multiply 5 and 7 to get 35.

$$\frac{64}{9}\times \frac{35+1}{7}\times \frac{4\times 7+4}{7}$$

Add 35 and 1 to get 36.

$$\frac{64}{9}\times \frac{36}{7}\times \frac{4\times 7+4}{7}$$

Multiply \frac{64}{9} times \frac{36}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{64\times 36}{9\times 7}\times \frac{4\times 7+4}{7}$$

Do the multiplications in the fraction \frac{64\times 36}{9\times 7}.

$$\frac{2304}{63}\times \frac{4\times 7+4}{7}$$

Reduce the fraction \frac{2304}{63} to lowest terms by extracting and canceling out 9.

$$\frac{256}{7}\times \frac{4\times 7+4}{7}$$

Multiply 4 and 7 to get 28.

$$\frac{256}{7}\times \frac{28+4}{7}$$

Add 28 and 4 to get 32.

$$\frac{256}{7}\times \frac{32}{7}$$

Multiply \frac{256}{7} times \frac{32}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{256\times 32}{7\times 7}$$

Do the multiplications in the fraction \frac{256\times 32}{7\times 7}.

$$\frac{8192}{49}$$

Factor

$$\frac{2 ^ {13}}{7 ^ {2}} = 167\frac{9}{49} = 167.18367346938774$$