Solve 2-1/6=1/2+1/3

$$2 - \frac { 1 } { 6 } = \frac { 1 } { 2 } + \frac { 1 } { 3 }$$

Verify

Solution Steps

Convert 2 to fraction \frac{12}{6}.

$$\frac{12}{6}-\frac{1}{6}=\frac{1}{2}+\frac{1}{3}$$

Since \frac{12}{6} and \frac{1}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12-1}{6}=\frac{1}{2}+\frac{1}{3}$$

Subtract 1 from 12 to get 11.

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

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

$$\frac{11}{6}=\frac{3}{6}+\frac{2}{6}$$

Since \frac{3}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

$$\frac{11}{6}=\frac{3+2}{6}$$

Add 3 and 2 to get 5.

$$\frac{11}{6}=\frac{5}{6}$$

Compare \frac{11}{6} and \frac{5}{6}.

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