Solve 4+3/10+9/1000

$$4+ \frac{ 3 }{ 10 } + \frac{ 9 }{ 1000 }$$

Evaluate

$$\frac{4309}{1000}=4.309$$

Solution Steps

Convert 4 to fraction \frac{40}{10}.

$$\frac{40}{10}+\frac{3}{10}+\frac{9}{1000}$$

Since \frac{40}{10} and \frac{3}{10} have the same denominator, add them by adding their numerators.

$$\frac{40+3}{10}+\frac{9}{1000}$$

Add 40 and 3 to get 43.

$$\frac{43}{10}+\frac{9}{1000}$$

Least common multiple of 10 and 1000 is 1000. Convert \frac{43}{10} and \frac{9}{1000} to fractions with denominator 1000.

$$\frac{4300}{1000}+\frac{9}{1000}$$

Since \frac{4300}{1000} and \frac{9}{1000} have the same denominator, add them by adding their numerators.

$$\frac{4300+9}{1000}$$

Add 4300 and 9 to get 4309.

$$\frac{4309}{1000}$$

Factor

$$\frac{31 \cdot 139}{2 ^ {3} \cdot 5 ^ {3}} = 4\frac{309}{1000} = 4.309$$