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

To solve the expression \(-\dfrac{7}{8} - \left(-\dfrac{5}{6}\right)\), follow these steps:

1. **Simplify the expression**: The double negative in \(-\left(-\dfrac{5}{6}\right)\) becomes a positive, so the expression simplifies to:
   \[
   -\dfrac{7}{8} + \dfrac{5}{6}
   \]

2. **Find a common denominator**: The denominators are 8 and 6. The least common denominator (LCD) for these is 24.

3. **Rewrite each fraction with the LCD**:
   \[
   -\dfrac{7}{8} = -\dfrac{21}{24}
   \]
   \[
   \dfrac{5}{6} = \dfrac{20}{24}
   \]

4. **Add the fractions**:
   \[
   -\dfrac{21}{24} + \dfrac{20}{24} = \dfrac{-21 + 20}{24} = -\dfrac{1}{24}
   \]

So, the final result is \(-\dfrac{1}{24}\).

Would you like more details or have any questions?

Here are five related questions:
1. How do you handle subtraction involving negative fractions?
2. What is the significance of finding a common denominator when adding or subtracting fractions?
3. How can you simplify the process of finding the least common denominator?
4. What are the steps to convert a fraction into its simplest form?
5. How do you multiply and divide fractions with different denominators?

**Tip:** Always watch for double negatives—they can change the sign of your result!

Learn how to solve the subtraction of negative fractions problem -7/8 - (-5/6) step-by-step. Understand the concept of negative fractions, finding a common denominator, and simplifying the result. Suitable for students in Grades 6-8.

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