Solve 6.67div10^9*50*40div16

$$6.67 \div { 10 }^{ 9 } \times 50 \times 40 \div 16$$

Evaluate

$$0.00000083375$$

Solution Steps

Calculate 10 to the power of 9 and get 1000000000.

$$\frac{\frac{6.67}{1000000000}\times 50\times 40}{16}$$

Expand \frac{6.67}{1000000000} by multiplying both numerator and the denominator by 100.

$$\frac{\frac{667}{100000000000}\times 50\times 40}{16}$$

Express \frac{667}{100000000000}\times 50 as a single fraction.

$$\frac{\frac{667\times 50}{100000000000}\times 40}{16}$$

Multiply 667 and 50 to get 33350.

$$\frac{\frac{33350}{100000000000}\times 40}{16}$$

Reduce the fraction \frac{33350}{100000000000} to lowest terms by extracting and canceling out 50.

$$\frac{\frac{667}{2000000000}\times 40}{16}$$

Express \frac{667}{2000000000}\times 40 as a single fraction.

$$\frac{\frac{667\times 40}{2000000000}}{16}$$

Multiply 667 and 40 to get 26680.

$$\frac{\frac{26680}{2000000000}}{16}$$

Reduce the fraction \frac{26680}{2000000000} to lowest terms by extracting and canceling out 40.

$$\frac{\frac{667}{50000000}}{16}$$

Express \frac{\frac{667}{50000000}}{16} as a single fraction.

$$\frac{667}{50000000\times 16}$$

Multiply 50000000 and 16 to get 800000000.

$$\frac{667}{800000000}$$

Factor

$$\frac{23 \cdot 29}{2 ^ {11} \cdot 5 ^ {8}} = 8.3375 \times 10^{-7}$$