Solve 0.011+3.57*0.012/10

$$0.011+3.57 \times \frac{ 0.012 }{ 10 }$$

Evaluate

$$0.015284$$

Solution Steps

Expand \frac{0.012}{10} by multiplying both numerator and the denominator by 1000.

$$0.011+3.57\times \frac{12}{10000}$$

Reduce the fraction \frac{12}{10000} to lowest terms by extracting and canceling out 4.

$$0.011+3.57\times \frac{3}{2500}$$

Convert decimal number 3.57 to fraction \frac{357}{100}.

$$0.011+\frac{357}{100}\times \frac{3}{2500}$$

Multiply \frac{357}{100} times \frac{3}{2500} by multiplying numerator times numerator and denominator times denominator.

$$0.011+\frac{357\times 3}{100\times 2500}$$

Do the multiplications in the fraction \frac{357\times 3}{100\times 2500}.

$$0.011+\frac{1071}{250000}$$

Convert decimal number 0.011 to fraction \frac{11}{1000}.

$$\frac{11}{1000}+\frac{1071}{250000}$$

Least common multiple of 1000 and 250000 is 250000. Convert \frac{11}{1000} and \frac{1071}{250000} to fractions with denominator 250000.

$$\frac{2750}{250000}+\frac{1071}{250000}$$

Since \frac{2750}{250000} and \frac{1071}{250000} have the same denominator, add them by adding their numerators.

$$\frac{2750+1071}{250000}$$

Add 2750 and 1071 to get 3821.

$$\frac{3821}{250000}$$

Factor

$$\frac{3821}{2 ^ {4} \cdot 5 ^ {6}} = 0.015284$$