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

Let's simplify the expression step by step:

Given expression:

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

1. Simplify the fraction \(\dfrac{9}{3}\):

\[
\dfrac{9}{3} = 3
\]

2. Substitute this back into the expression:

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

3. Subtracting a negative is the same as adding a positive:

\[
-\dfrac{5}{12} + 3
\]

4. To add these two numbers, first express \(3\) as a fraction with the same denominator as \(-\dfrac{5}{12}\):

\[
3 = \dfrac{36}{12}
\]

5. Now add the fractions:

\[
-\dfrac{5}{12} + \dfrac{36}{12} = \dfrac{-5 + 36}{12} = \dfrac{31}{12}
\]

So, the final answer is:

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

Would you like more details or have any questions about the process? Here are some related questions:

1. How do you simplify fractions?
2. What is the process for adding fractions with different signs?
3. Why is subtracting a negative number equivalent to adding?
4. How do you convert a whole number to a fraction?
5. What is the importance of having a common denominator when adding or subtracting fractions?

**Tip:** Always simplify fractions as the first step when possible—it can make the rest of the problem easier to solve.

Learn how to simplify the expression -5/12 - (-9/3). Step-by-step solution provided, covering fractions, operations with fractions, and negative numbers. Suitable for students in Grades 6-8.

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