Solve 0.02*0.012/5354*10*2

$$0.02 \cdot 0.01 \frac{ 2 }{ 5 } 354 \cdot 10 \times 2$$

Evaluate

$$58.056$$

Solution Steps

Multiply 0.01 and 5 to get 0.05.

$$0.02\times \frac{0.05+2}{5}\times 354\times 10\times 2$$

Add 0.05 and 2 to get 2.05.

$$0.02\times \frac{2.05}{5}\times 354\times 10\times 2$$

Expand \frac{2.05}{5} by multiplying both numerator and the denominator by 100.

$$0.02\times \frac{205}{500}\times 354\times 10\times 2$$

Reduce the fraction \frac{205}{500} to lowest terms by extracting and canceling out 5.

$$0.02\times \frac{41}{100}\times 354\times 10\times 2$$

Convert decimal number 0.02 to fraction \frac{2}{100}. Reduce the fraction \frac{2}{100} to lowest terms by extracting and canceling out 2.

$$\frac{1}{50}\times \frac{41}{100}\times 354\times 10\times 2$$

Multiply \frac{1}{50} times \frac{41}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 41}{50\times 100}\times 354\times 10\times 2$$

Do the multiplications in the fraction \frac{1\times 41}{50\times 100}.

$$\frac{41}{5000}\times 354\times 10\times 2$$

Express \frac{41}{5000}\times 354 as a single fraction.

$$\frac{41\times 354}{5000}\times 10\times 2$$

Multiply 41 and 354 to get 14514.

$$\frac{14514}{5000}\times 10\times 2$$

Reduce the fraction \frac{14514}{5000} to lowest terms by extracting and canceling out 2.

$$\frac{7257}{2500}\times 10\times 2$$

Express \frac{7257}{2500}\times 10 as a single fraction.

$$\frac{7257\times 10}{2500}\times 2$$

Multiply 7257 and 10 to get 72570.

$$\frac{72570}{2500}\times 2$$

Reduce the fraction \frac{72570}{2500} to lowest terms by extracting and canceling out 10.

$$\frac{7257}{250}\times 2$$

Express \frac{7257}{250}\times 2 as a single fraction.

$$\frac{7257\times 2}{250}$$

Multiply 7257 and 2 to get 14514.

$$\frac{14514}{250}$$

Reduce the fraction \frac{14514}{250} to lowest terms by extracting and canceling out 2.

$$\frac{7257}{125}$$

Factor

$$\frac{3 \cdot 41 \cdot 59}{5 ^ {3}} = 58\frac{7}{125} = 58.056$$