Solve 1/2+4/3=11/6=15/6

$$\frac{ 1 }{ 2 } + \frac{ 4 }{ 3 } = \frac{ 11 }{ 6 } = 1 \frac { 5 } { 6 }$$

Verify

Solution Steps

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{4}{3} to fractions with denominator 6.

$$\frac{3}{6}+\frac{8}{6}=\frac{11}{6}\text{ and }\frac{11}{6}=\frac{1\times 6+5}{6}$$

Since \frac{3}{6} and \frac{8}{6} have the same denominator, add them by adding their numerators.

$$\frac{3+8}{6}=\frac{11}{6}\text{ and }\frac{11}{6}=\frac{1\times 6+5}{6}$$

Add 3 and 8 to get 11.

$$\frac{11}{6}=\frac{11}{6}\text{ and }\frac{11}{6}=\frac{1\times 6+5}{6}$$

Compare \frac{11}{6} and \frac{11}{6}.

$$\text{true}\text{ and }\frac{11}{6}=\frac{1\times 6+5}{6}$$

Multiply 1 and 6 to get 6.

$$\text{true}\text{ and }\frac{11}{6}=\frac{6+5}{6}$$

Add 6 and 5 to get 11.

$$\text{true}\text{ and }\frac{11}{6}=\frac{11}{6}$$

Compare \frac{11}{6} and \frac{11}{6}.

$$\text{true}\text{ and }\text{true}$$

The conjunction of \text{true} and \text{true} is \text{true}.

$$\text{true}$$