Solve 2/400=703/9+9/400

$$\frac { 2 } { 400 } = \frac { 703 } { 9 } + \frac { 9 } { 400 }$$

Verify

Solution Steps

Reduce the fraction \frac{2}{400} to lowest terms by extracting and canceling out 2.

$$\frac{1}{200}=\frac{703}{9}+\frac{9}{400}$$

Least common multiple of 9 and 400 is 3600. Convert \frac{703}{9} and \frac{9}{400} to fractions with denominator 3600.

$$\frac{1}{200}=\frac{281200}{3600}+\frac{81}{3600}$$

Since \frac{281200}{3600} and \frac{81}{3600} have the same denominator, add them by adding their numerators.

$$\frac{1}{200}=\frac{281200+81}{3600}$$

Add 281200 and 81 to get 281281.

$$\frac{1}{200}=\frac{281281}{3600}$$

Least common multiple of 200 and 3600 is 3600. Convert \frac{1}{200} and \frac{281281}{3600} to fractions with denominator 3600.

$$\frac{18}{3600}=\frac{281281}{3600}$$

Compare \frac{18}{3600} and \frac{281281}{3600}.

$$\text{false}$$