The simplified form of $-\frac{7}{8}-\left(-\frac{3}{16}\right)$.

The statement “$-\frac{7}{8}-\left(-\frac{3}{16}\right)$.”

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 “$-\frac{7}{8}-\left(-\frac{3}{16}\right)$.”

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 8 and 16 is 16.

So, multiply $\frac{7}{8}$by 2 in both numerator and denominator,

Thus, the given expression can be simplified as,

$-\frac{7}{8}-\left(-\frac{3}{16}\right)=-\frac{7}{8}+\frac{3}{16}$

$-\frac{7}{8}-\left(-\frac{3}{16}\right)=-\frac{7\times 2}{8\times 2}+\frac{3}{16}$

$-\frac{7}{8}-\left(-\frac{3}{16}\right)=-\frac{14}{16}+\frac{3}{16}$

$-\frac{7}{8}-\left(-\frac{3}{16}\right)=-\frac{11}{16}$

Since,$-\frac{11}{16}$ cannot be simplified further,

Hence, the simplified form of $-\frac{7}{8}-\left(-\frac{3}{16}\right)$is $-\frac{11}{16}$.