Solve 12/13=9/2+1/1564

$$\frac { 12 } { 13 } = \frac { 9 } { 2 } + \frac { 1 } { 1564 }$$

Verify

Solution Steps

Least common multiple of 2 and 1564 is 1564. Convert \frac{9}{2} and \frac{1}{1564} to fractions with denominator 1564.

$$\frac{12}{13}=\frac{7038}{1564}+\frac{1}{1564}$$

Since \frac{7038}{1564} and \frac{1}{1564} have the same denominator, add them by adding their numerators.

$$\frac{12}{13}=\frac{7038+1}{1564}$$

Add 7038 and 1 to get 7039.

$$\frac{12}{13}=\frac{7039}{1564}$$

Least common multiple of 13 and 1564 is 20332. Convert \frac{12}{13} and \frac{7039}{1564} to fractions with denominator 20332.

$$\frac{18768}{20332}=\frac{91507}{20332}$$

Compare \frac{18768}{20332} and \frac{91507}{20332}.

$$\text{false}$$