Solve 1/2+1/2+3=40/13

$$\frac { 1 } { 2 } + \frac { 1 } { 2 + 3 } = \frac { 40 } { 13 }$$

Verify

Solution Steps

Add 2 and 3 to get 5.

$$\frac{1}{2}+\frac{1}{5}=\frac{40}{13}$$

Least common multiple of 2 and 5 is 10. Convert \frac{1}{2} and \frac{1}{5} to fractions with denominator 10.

$$\frac{5}{10}+\frac{2}{10}=\frac{40}{13}$$

Since \frac{5}{10} and \frac{2}{10} have the same denominator, add them by adding their numerators.

$$\frac{5+2}{10}=\frac{40}{13}$$

Add 5 and 2 to get 7.

$$\frac{7}{10}=\frac{40}{13}$$

Least common multiple of 10 and 13 is 130. Convert \frac{7}{10} and \frac{40}{13} to fractions with denominator 130.

$$\frac{91}{130}=\frac{400}{130}$$

Compare \frac{91}{130} and \frac{400}{130}.

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