Solve 140div22.4div1000*2*78div5

$$140 \div 22.4 \div 1000 \times 2 \times 78 \div 5$$

Evaluate

$$0.195$$

Solution Steps

Express \frac{\frac{140}{22.4}}{1000} as a single fraction.

$$\frac{\frac{140}{22.4\times 1000}\times 2\times 78}{5}$$

Multiply 22.4 and 1000 to get 22400.

$$\frac{\frac{140}{22400}\times 2\times 78}{5}$$

Reduce the fraction \frac{140}{22400} to lowest terms by extracting and canceling out 140.

$$\frac{\frac{1}{160}\times 2\times 78}{5}$$

Multiply \frac{1}{160} and 2 to get \frac{2}{160}.

$$\frac{\frac{2}{160}\times 78}{5}$$

Reduce the fraction \frac{2}{160} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{1}{80}\times 78}{5}$$

Multiply \frac{1}{80} and 78 to get \frac{78}{80}.

$$\frac{\frac{78}{80}}{5}$$

Reduce the fraction \frac{78}{80} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{39}{40}}{5}$$

Express \frac{\frac{39}{40}}{5} as a single fraction.

$$\frac{39}{40\times 5}$$

Multiply 40 and 5 to get 200.

$$\frac{39}{200}$$

Factor

$$\frac{3 \cdot 13}{2 ^ {3} \cdot 5 ^ {2}} = 0.195$$