Solve 5472*3468*24div8div1024div1024div15

$$5472 \times 3468 \times 24 \div 8 \div 1024 \div 1024 \div 15$$

Evaluate

$$\frac{148257}{40960}=3.619555664$$

Solution Steps

Express \frac{\frac{\frac{\frac{5472\times 3468\times 24}{8}}{1024}}{1024}}{15} as a single fraction.

$$\frac{\frac{\frac{5472\times 3468\times 24}{8}}{1024}}{1024\times 15}$$

Express \frac{\frac{5472\times 3468\times 24}{8}}{1024} as a single fraction.

$$\frac{\frac{5472\times 3468\times 24}{8\times 1024}}{1024\times 15}$$

Cancel out 4\times 4\times 8\times 8 in both numerator and denominator.

$$\frac{\frac{3\times 171\times 867}{8}}{1024\times 15}$$

Multiply 3 and 171 to get 513.

$$\frac{\frac{513\times 867}{8}}{1024\times 15}$$

Multiply 513 and 867 to get 444771.

$$\frac{\frac{444771}{8}}{1024\times 15}$$

Multiply 1024 and 15 to get 15360.

$$\frac{\frac{444771}{8}}{15360}$$

Express \frac{\frac{444771}{8}}{15360} as a single fraction.

$$\frac{444771}{8\times 15360}$$

Multiply 8 and 15360 to get 122880.

$$\frac{444771}{122880}$$

Reduce the fraction \frac{444771}{122880} to lowest terms by extracting and canceling out 3.

$$\frac{148257}{40960}$$

Factor

$$\frac{3 ^ {3} \cdot 17 ^ {2} \cdot 19}{2 ^ {13} \cdot 5} = 3\frac{25377}{40960} = 3.6195556640625$$