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

To solve the expression:

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

we can proceed step-by-step:

1. First, simplify \(-\frac{9}{3}\):
   \[
   -\frac{9}{3} = -3
   \]
   So the expression becomes:
   \[
   -\frac{5}{12} - (-3)
   \]

2. Next, we apply the rule that subtracting a negative is the same as adding a positive:
   \[
   -\frac{5}{12} + 3
   \]

3. To add \(-\frac{5}{12}\) and \(3\), convert \(3\) to a fraction with a denominator of 12:
   \[
   3 = \frac{36}{12}
   \]

4. Now, the expression is:
   \[
   -\frac{5}{12} + \frac{36}{12} = \frac{-5 + 36}{12} = \frac{31}{12}
   \]

So, the final answer is:

\[
\frac{31}{12}
\]

Would you like more details, or do you have any questions?

Here are some related questions to explore:
1. How would the answer change if the fraction was \(-\frac{5}{12} + \frac{9}{3}\)?
2. What is the decimal form of \(\frac{31}{12}\)?
3. Can you show how to subtract fractions with different denominators?
4. How can we confirm the answer using a calculator?
5. What is the process to simplify expressions involving fractions and negatives?

**Tip:** Always simplify each term in an expression individually before combining them.

Explore a detailed solution to the expression -5/12 - (-9/3), covering fraction addition and handling negative numbers. Learn key arithmetic concepts suitable for students in Grades 6-8, including how to simplify and combine fractions.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation