https://file.aiquickdraw.com/mathbot/file/1727374026042tca90p56.jpg

The problem presented in the image is:

\[
\frac{8}{3} + \frac{7}{n}
\]

To simplify or combine these two fractions, you would need a common denominator. Here’s how you can proceed:

1. The denominators are \(3\) and \(n\). The least common denominator (LCD) between them is \(3n\).
2. Convert each fraction to have the same denominator:
   \[
   \frac{8}{3} = \frac{8n}{3n}
   \quad \text{and} \quad
   \frac{7}{n} = \frac{21}{3n}
   \]
3. Now that both fractions have the same denominator, you can add them together:
   \[
   \frac{8n}{3n} + \frac{7}{3n} = \frac{8n + 7}{3n}
   \]
   
Thus, the simplified expression is:

\[
\frac{8n + 7}{3n}
\]

Would you like further details or have any questions?

---

Here are 5 related questions:
1. How do you find the least common denominator (LCD) between two fractions?
2. Can you subtract two fractions in the same way as addition?
3. What happens if one of the fractions has a variable denominator and the other does not?
4. How do you handle fractions with more complex algebraic expressions in the numerator or denominator?
5. Can you simplify fractions after addition if the numerator and denominator have common factors?

**Tip:** When adding or subtracting fractions, always ensure you have a common denominator before combining the numerators!

This problem focuses on simplifying algebraic fractions with different denominators. The solution explains finding the least common denominator and combining fractions using basic algebraic rules. Suitable for Grades 7-9 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation