Solve 8/363*14*16*5*16*5

$$\frac{ 8 }{ 36 } 3 \cdot 14 \cdot 16 \cdot 5 \cdot 16 \cdot 5$$

Evaluate

$$\frac{179200}{3}\approx 59733.333333333$$

Solution Steps

Reduce the fraction \frac{8}{36} to lowest terms by extracting and canceling out 4.

$$\frac{2}{9}\times 3\times 14\times 16\times 5\times 16\times 5$$

Express \frac{2}{9}\times 3 as a single fraction.

$$\frac{2\times 3}{9}\times 14\times 16\times 5\times 16\times 5$$

Multiply 2 and 3 to get 6.

$$\frac{6}{9}\times 14\times 16\times 5\times 16\times 5$$

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$\frac{2}{3}\times 14\times 16\times 5\times 16\times 5$$

Express \frac{2}{3}\times 14 as a single fraction.

$$\frac{2\times 14}{3}\times 16\times 5\times 16\times 5$$

Multiply 2 and 14 to get 28.

$$\frac{28}{3}\times 16\times 5\times 16\times 5$$

Express \frac{28}{3}\times 16 as a single fraction.

$$\frac{28\times 16}{3}\times 5\times 16\times 5$$

Multiply 28 and 16 to get 448.

$$\frac{448}{3}\times 5\times 16\times 5$$

Express \frac{448}{3}\times 5 as a single fraction.

$$\frac{448\times 5}{3}\times 16\times 5$$

Multiply 448 and 5 to get 2240.

$$\frac{2240}{3}\times 16\times 5$$

Express \frac{2240}{3}\times 16 as a single fraction.

$$\frac{2240\times 16}{3}\times 5$$

Multiply 2240 and 16 to get 35840.

$$\frac{35840}{3}\times 5$$

Express \frac{35840}{3}\times 5 as a single fraction.

$$\frac{35840\times 5}{3}$$

Multiply 35840 and 5 to get 179200.

$$\frac{179200}{3}$$

Factor

$$\frac{2 ^ {10} \cdot 5 ^ {2} \cdot 7}{3} = 59733\frac{1}{3} = 59733.333333333336$$