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The statement 鈥�$\frac{1}{2}-\frac{4}{5}$.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�$\frac{1}{2}-\frac{4}{5}$.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 5 is 10.

So, multiply $\frac{1}{2}$by 5 and $\frac{4}{5}$by 2 in both numerator and denominator,

Thus, the given expression can be simplified as,

$\frac{1}{2}-\frac{4}{5}=\frac{1脳5}{2脳5}-\frac{4脳2}{5脳2}$

$\frac{1}{2}-\frac{4}{5}=\frac{5}{10}-\frac{8}{10}$

$\frac{1}{2}-\frac{4}{5}=\frac{5-8}{10}$

$\frac{1}{2}-\frac{4}{5}=\frac{-3}{10}$

Since, $\frac{-3}{10}$cannot be simplified further,

Hence, the simplified form of $\frac{1}{2}-\frac{4}{5}$is $\frac{-3}{10}$.