Solve 9/13+5/11=4/13+6/11

$$\frac { 9 } { 13 } + \frac { 5 } { 11 } = \frac { 4 } { 13 } + \frac { 6 } { 11 }$$

Verify

Solution Steps

Least common multiple of 13 and 11 is 143. Convert \frac{9}{13} and \frac{5}{11} to fractions with denominator 143.

$$\frac{99}{143}+\frac{65}{143}=\frac{4}{13}+\frac{6}{11}$$

Since \frac{99}{143} and \frac{65}{143} have the same denominator, add them by adding their numerators.

$$\frac{99+65}{143}=\frac{4}{13}+\frac{6}{11}$$

Add 99 and 65 to get 164.

$$\frac{164}{143}=\frac{4}{13}+\frac{6}{11}$$

Least common multiple of 13 and 11 is 143. Convert \frac{4}{13} and \frac{6}{11} to fractions with denominator 143.

$$\frac{164}{143}=\frac{44}{143}+\frac{78}{143}$$

Since \frac{44}{143} and \frac{78}{143} have the same denominator, add them by adding their numerators.

$$\frac{164}{143}=\frac{44+78}{143}$$

Add 44 and 78 to get 122.

$$\frac{164}{143}=\frac{122}{143}$$

Compare \frac{164}{143} and \frac{122}{143}.

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