-\dfrac{5}{12}-\left(-\dfrac{9}{3}\right)=

Let's simplify and solve the expression:

\[
-\dfrac{5}{12} - \left(-\dfrac{9}{3}\right)
\]

1. Simplify \(\dfrac{9}{3}\):
   \[
   \dfrac{9}{3} = 3
   \]

2. Substitute this back into the expression:
   \[
   -\dfrac{5}{12} - (-3)
   \]

3. Simplify the expression by eliminating the double negative:
   \[
   -\dfrac{5}{12} + 3
   \]

4. Convert \(3\) to a fraction with a denominator of 12 to add the fractions:
   \[
   3 = \dfrac{36}{12}
   \]

5. Now add the fractions:
   \[
   -\dfrac{5}{12} + \dfrac{36}{12} = \dfrac{-5 + 36}{12} = \dfrac{31}{12}
   \]

So, the simplified result is:

\[
\dfrac{31}{12}
\]

Would you like more details or have any questions?

Here are 5 related questions you might find interesting:
1. How would you subtract \(\dfrac{7}{15} - \left(-\dfrac{4}{5}\right)\)?
2. What is the result of \(-\dfrac{2}{3} + \dfrac{8}{9}\)?
3. How do you add and subtract fractions with different denominators?
4. What is \(\dfrac{5}{6} - \dfrac{2}{3} + \dfrac{1}{2}\)?
5. How can you convert a mixed number to an improper fraction?

**Tip:** When adding or subtracting fractions, always make sure the fractions have a common denominator before performing the operation.

Learn how to simplify and solve the expression -5/12 - (-9/3). This problem involves basic arithmetic operations with fractions. Follow a step-by-step solution to understand the process of simplifying and adding fractions effectively. Suitable for students in Grades 6-8.

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