Question

Reduce to simplest form.

\[-\dfrac{7}{8}-\left(-\dfrac{5}{6}\right)=\]

Answer 1

[AI-generated answer — Bot GPT 3.5]

When you subtract a negative number, it is the same as adding a positive number. Therefore, we can rewrite the expression as:

\[-\dfrac{7}{8} + \dfrac{5}{6}\]

To combine these fractions, we need to find a common denominator. The common denominator in this case is 24, since it is divisible by both 8 and 6.

Now, we can convert the fractions to have a denominator of 24:

\[-\dfrac{7}{8} = -\dfrac{7 \times 3}{8 \times 3} = -\dfrac{21}{24}\]

\[\dfrac{5}{6} = \dfrac{5 \times 4}{6 \times 4} = \dfrac{20}{24}\]

Now, we can add these fractions together:

\[-\dfrac{21}{24} + \dfrac{20}{24} = \dfrac{-21 + 20}{24} = \dfrac{-1}{24}\]

Therefore, the expression simplifies to \boxed{\dfrac{-1}{24}}.