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The statement 鈥�$\frac{1}{2}-\frac{1}{3}$.鈥�

When two fractions with different denominators are subtracted then the two unlike fractions, are converted into like fractions by multiplying the denominators with a common factor of their lowest common multiple (LCM).

Consider the provided statement 鈥�$\frac{1}{2}-\frac{1}{3}$.鈥�

Recall that when two fractions with different denominators are subtracted then the two unlike fractions, are converted into like fractions by multiplying the denominators with a common factor of their lowest common multiple(LCM).

LCM of 2 and 3 is 6.

So, multiply $\frac{1}{2}$by 3 and $\frac{1}{3}$by 2 in both numerator and denominator,

Thus, the given expression can be simplified as,

$\frac{1}{2}-\frac{1}{3}=\frac{1脳3}{2脳3}-\frac{1脳2}{3脳2}$

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

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

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

Since, $\frac{1}{6}$cannot be simplified further,

Hence, the simplified form of $\frac{1}{2}-\frac{1}{3}$is $\frac{1}{6}$.