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The statement 鈥�$\frac{7}{10}-\frac{2}{15}$.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�$\frac{7}{10}-\frac{2}{15}$.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 10 and 15 is 30.

So, multiply $\frac{7}{10}$by 3 and $\frac{2}{15}$by 2 in both numerator and denominator,

Thus, the given expression can be simplified as,

$\frac{7}{10}-\frac{2}{15}=\frac{7脳3}{10脳3}-\frac{2脳2}{15脳2}$

$\frac{7}{10}-\frac{2}{15}=\frac{21}{30}-\frac{4}{30}$

$\frac{7}{10}-\frac{2}{15}=\frac{21-4}{30}$

$\frac{7}{10}-\frac{2}{15}=\frac{17}{30}$

Since, $\frac{17}{30}$cannot be simplified further,

Hence, the simplified form of $\frac{7}{10}-\frac{2}{15}$is $\frac{17}{30}$.