To solve the expression \(\dfrac{5}{8} - \left(-\dfrac{7}{2}\right)\), we need to perform the following steps:

1. **Simplify the expression**: Notice that subtracting a negative number is the same as adding its positive counterpart.
   
   \[
   \dfrac{5}{8} - \left(-\dfrac{7}{2}\right) = \dfrac{5}{8} + \dfrac{7}{2}
   \]

2. **Find a common denominator**: The denominators are 8 and 2. The least common multiple (LCM) of 8 and 2 is 8. 

3. **Convert the fractions to have the common denominator**: 

   \[
   \dfrac{5}{8} \quad \text{(already has the common denominator of 8)}
   \]
   
   Convert \(\dfrac{7}{2}\) to a fraction with a denominator of 8:
   
   \[
   \dfrac{7}{2} = \dfrac{7 \times 4}{2 \times 4} = \dfrac{28}{8}
   \]

4. **Add the fractions**:

   \[
   \dfrac{5}{8} + \dfrac{28}{8} = \dfrac{5 + 28}{8} = \dfrac{33}{8}
   \]

Therefore, the solution is:

\[
\dfrac{5}{8} - \left(-\dfrac{7}{2}\right) = \dfrac{33}{8}
\]

Would you like more details on any of the steps, or do you have any questions?

Here are some related questions for further exploration:

1. How do you add fractions with different denominators?
2. What is the LCM and how do you find it for two numbers?
3. How do you convert improper fractions to mixed numbers?
4. What is the effect of subtracting a negative number on a number line?
5. How do you simplify fractions after performing addition or subtraction?

**Tip:** Remember that subtracting a negative is the same as adding the positive!

Learn how to solve the fraction subtraction problem 5/8 - (-7/2) step-by-step. Understand the concept of subtracting negative numbers and adding fractions with different denominators. Suitable for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation