Solve 40*1000div1.4div60

$$40 \times 1000 \div 1.4 \div 60$$

Evaluate

$$\frac{10000}{21}\approx 476.19047619$$

Solution Steps

Express \frac{\frac{40\times 1000}{1.4}}{60} as a single fraction.

$$\frac{40\times 1000}{1.4\times 60}$$

Cancel out 20 in both numerator and denominator.

$$\frac{2\times 1000}{1.4\times 3}$$

Multiply 2 and 1000 to get 2000.

$$\frac{2000}{1.4\times 3}$$

Multiply 1.4 and 3 to get 4.2.

$$\frac{2000}{4.2}$$

Expand \frac{2000}{4.2} by multiplying both numerator and the denominator by 10.

$$\frac{20000}{42}$$

Reduce the fraction \frac{20000}{42} to lowest terms by extracting and canceling out 2.

$$\frac{10000}{21}$$

Factor

$$\frac{2 ^ {4} \cdot 5 ^ {4}}{3 \cdot 7} = 476\frac{4}{21} = 476.1904761904762$$