Solve 3*256*5div27div4div1.62

$$3 \times 256 \times 5 \div 27 \div 4 \div 1.62$$

Evaluate

$$\frac{16000}{729}\approx 21.9478738$$

Solution Steps

Express \frac{\frac{\frac{3\times 256\times 5}{27}}{4}}{1.62} as a single fraction.

$$\frac{\frac{3\times 256\times 5}{27}}{4\times 1.62}$$

Multiply 3 and 256 to get 768.

$$\frac{\frac{768\times 5}{27}}{4\times 1.62}$$

Multiply 768 and 5 to get 3840.

$$\frac{\frac{3840}{27}}{4\times 1.62}$$

Reduce the fraction \frac{3840}{27} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{1280}{9}}{4\times 1.62}$$

Multiply 4 and 1.62 to get 6.48.

$$\frac{\frac{1280}{9}}{6.48}$$

Express \frac{\frac{1280}{9}}{6.48} as a single fraction.

$$\frac{1280}{9\times 6.48}$$

Multiply 9 and 6.48 to get 58.32.

$$\frac{1280}{58.32}$$

Expand \frac{1280}{58.32} by multiplying both numerator and the denominator by 100.

$$\frac{128000}{5832}$$

Reduce the fraction \frac{128000}{5832} to lowest terms by extracting and canceling out 8.

$$\frac{16000}{729}$$

Factor

$$\frac{2 ^ {7} \cdot 5 ^ {3}}{3 ^ {6}} = 21\frac{691}{729} = 21.947873799725652$$