Solve 0.139+2.17*0.069/10

$$0.139+2.17 \times \frac{ 0.069 }{ 10 }$$

Evaluate

$$0.153973$$

Solution Steps

Expand \frac{0.069}{10} by multiplying both numerator and the denominator by 1000.

$$0.139+2.17\times \frac{69}{10000}$$

Convert decimal number 2.17 to fraction \frac{217}{100}.

$$0.139+\frac{217}{100}\times \frac{69}{10000}$$

Multiply \frac{217}{100} times \frac{69}{10000} by multiplying numerator times numerator and denominator times denominator.

$$0.139+\frac{217\times 69}{100\times 10000}$$

Do the multiplications in the fraction \frac{217\times 69}{100\times 10000}.

$$0.139+\frac{14973}{1000000}$$

Convert decimal number 0.139 to fraction \frac{139}{1000}.

$$\frac{139}{1000}+\frac{14973}{1000000}$$

Least common multiple of 1000 and 1000000 is 1000000. Convert \frac{139}{1000} and \frac{14973}{1000000} to fractions with denominator 1000000.

$$\frac{139000}{1000000}+\frac{14973}{1000000}$$

Since \frac{139000}{1000000} and \frac{14973}{1000000} have the same denominator, add them by adding their numerators.

$$\frac{139000+14973}{1000000}$$

Add 139000 and 14973 to get 153973.

$$\frac{153973}{1000000}$$

Factor

$$\frac{107 \cdot 1439}{2 ^ {6} \cdot 5 ^ {6}} = 0.153973$$