Solve 1=2+3/10+3/1000+9/10.000

$$1 = 2 + \frac { 3 } { 10 } + \frac { 3 } { 1000 } + \frac { 9 } { 10.000 }$$

Verify

Solution Steps

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

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

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

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

Add 20 and 3 to get 23.

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

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

$$1=\frac{2300}{1000}+\frac{3}{1000}+\frac{9}{10}$$

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

$$1=\frac{2300+3}{1000}+\frac{9}{10}$$

Add 2300 and 3 to get 2303.

$$1=\frac{2303}{1000}+\frac{9}{10}$$

Least common multiple of 1000 and 10 is 1000. Convert \frac{2303}{1000} and \frac{9}{10} to fractions with denominator 1000.

$$1=\frac{2303}{1000}+\frac{900}{1000}$$

Since \frac{2303}{1000} and \frac{900}{1000} have the same denominator, add them by adding their numerators.

$$1=\frac{2303+900}{1000}$$

Add 2303 and 900 to get 3203.

$$1=\frac{3203}{1000}$$

Convert 1 to fraction \frac{1000}{1000}.

$$\frac{1000}{1000}=\frac{3203}{1000}$$

Compare \frac{1000}{1000} and \frac{3203}{1000}.

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