Solve 1=2+3/10+3/1000+9/10000

$$1 = 2 + \frac { 3 } { 10 } + \frac { 3 } { 1000 } + \frac { 9 } { 10000 }$$

Verify

Solution Steps

Convert 2 to fraction \frac{20}{10}.

$$1=\frac{20}{10}+\frac{3}{10}+\frac{3}{1000}+\frac{9}{10000}$$

Since \frac{20}{10} and \frac{3}{10} have the same denominator, add them by adding their numerators.

$$1=\frac{20+3}{10}+\frac{3}{1000}+\frac{9}{10000}$$

Add 20 and 3 to get 23.

$$1=\frac{23}{10}+\frac{3}{1000}+\frac{9}{10000}$$

Least common multiple of 10 and 1000 is 1000. Convert \frac{23}{10} and \frac{3}{1000} to fractions with denominator 1000.

$$1=\frac{2300}{1000}+\frac{3}{1000}+\frac{9}{10000}$$

Since \frac{2300}{1000} and \frac{3}{1000} have the same denominator, add them by adding their numerators.

$$1=\frac{2300+3}{1000}+\frac{9}{10000}$$

Add 2300 and 3 to get 2303.

$$1=\frac{2303}{1000}+\frac{9}{10000}$$

Least common multiple of 1000 and 10000 is 10000. Convert \frac{2303}{1000} and \frac{9}{10000} to fractions with denominator 10000.

$$1=\frac{23030}{10000}+\frac{9}{10000}$$

Since \frac{23030}{10000} and \frac{9}{10000} have the same denominator, add them by adding their numerators.

$$1=\frac{23030+9}{10000}$$

Add 23030 and 9 to get 23039.

$$1=\frac{23039}{10000}$$

Convert 1 to fraction \frac{10000}{10000}.

$$\frac{10000}{10000}=\frac{23039}{10000}$$

Compare \frac{10000}{10000} and \frac{23039}{10000}.

$$\text{false}$$