Solve 0.05div24.6+0.003

$$0.05 \div 24.6+0.003$$

Evaluate

$$\frac{619}{123000}\approx 0.00503252$$

Solution Steps

Expand \frac{0.05}{24.6} by multiplying both numerator and the denominator by 100.

$$\frac{5}{2460}+0.003$$

Reduce the fraction \frac{5}{2460} to lowest terms by extracting and canceling out 5.

$$\frac{1}{492}+0.003$$

Convert decimal number 0.003 to fraction \frac{3}{1000}.

$$\frac{1}{492}+\frac{3}{1000}$$

Least common multiple of 492 and 1000 is 123000. Convert \frac{1}{492} and \frac{3}{1000} to fractions with denominator 123000.

$$\frac{250}{123000}+\frac{369}{123000}$$

Since \frac{250}{123000} and \frac{369}{123000} have the same denominator, add them by adding their numerators.

$$\frac{250+369}{123000}$$

Add 250 and 369 to get 619.

$$\frac{619}{123000}$$

Factor

$$\frac{619}{3 \cdot 41 \cdot 2 ^ {3} \cdot 5 ^ {3}} = 0.005032520325203252$$