https://file.aiquickdraw.com/mathbot/file/17300585029928npeypei.jpg

The question is asking for the simplest form of the fraction \(\frac{-68}{153}\).

To simplify this fraction, we need to find the greatest common divisor (GCD) of 68 and 153.

1. **Find the prime factorization**:
   - \(68 = 2^2 \times 17\)
   - \(153 = 3 \times 3 \times 17\)

2. **Identify the GCD**:
   - The common factor is \(17\).

3. **Simplify the fraction**:
   - \[
   \frac{-68}{153} = \frac{-68 \div 17}{153 \div 17} = \frac{-4}{9}
   \]

Thus, the simplest form of \(\frac{-68}{153}\) is \(\frac{-4}{9}\).

Would you like further details or have any questions?

Here are some related questions for practice:
1. How do you find the GCD of two numbers?
2. What is the process for simplifying fractions?
3. How would you simplify \(\frac{-81}{108}\)?
4. Why do we use prime factorization for finding the GCD?
5. How do you determine if a fraction is already in its simplest form?

**Tip**: When simplifying fractions, always look for the largest number that divides both the numerator and the denominator evenly!

The simplest form for \(\frac{-68}{153}\) is _____ (Type an integer or a simplified fraction).

Learn how to simplify the fraction -68/153 by finding the GCD and reducing it to its simplest form. This exercise covers prime factorization, finding the GCD, and simplifying fractions, 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