Solve 2/3+5/4=1/2

$$\frac { 2 } { 3 } + \frac { 5 } { 4 } = \frac { 1 } { 2 }$$

Verify

Solution Steps

Least common multiple of 3 and 4 is 12. Convert \frac{2}{3} and \frac{5}{4} to fractions with denominator 12.

$$\frac{8}{12}+\frac{15}{12}=\frac{1}{2}$$

Since \frac{8}{12} and \frac{15}{12} have the same denominator, add them by adding their numerators.

$$\frac{8+15}{12}=\frac{1}{2}$$

Add 8 and 15 to get 23.

$$\frac{23}{12}=\frac{1}{2}$$

Least common multiple of 12 and 2 is 12. Convert \frac{23}{12} and \frac{1}{2} to fractions with denominator 12.

$$\frac{23}{12}=\frac{6}{12}$$

Compare \frac{23}{12} and \frac{6}{12}.

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