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The statement 鈥�$-\frac{1}{12}-\left(-\frac{3}{4}\right)$.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�$-\frac{1}{12}-\left(-\frac{3}{4}\right)$.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 12 and 4 is 12.

So, multiply $\frac{3}{4}$by 3 in both numerator and denominator,

Thus, the given expression can be simplified as,

$-\frac{1}{12}-\left(-\frac{3}{4}\right)=-\frac{1}{12}+\frac{3}{4}$

$-\frac{1}{12}-\left(-\frac{3}{4}\right)=-\frac{1}{12}+\frac{3脳3}{4脳3}$

$-\frac{1}{12}-\left(-\frac{3}{4}\right)=-\frac{1}{12}+\frac{9}{12}$

$-\frac{1}{12}-\left(-\frac{3}{4}\right)=\frac{8}{12}$

Now, 8 can be written as the product of 4 and 2.

12 can be written as the product of 4 and 3.

So, $\frac{8}{12}$can be simplified as,

$\frac{8}{12}=\frac{4脳2}{4脳3}$

Striking off the common terms, we get,

$\frac{8}{12}=\frac{2}{3}$

Hence, the simplified form of $-\frac{1}{12}-\left(-\frac{3}{4}\right)$is $\frac{2}{3}$.