Directions: 1. List the factors of the numerator and denominator. 2. Circle the Greatest Common Factor (GCF). 3. Divide both parts of the fraction by their GCF. Rewrite the fraction in simplest form. 4. 35 55 35 55-

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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### Simplifying Fractions: Step-by-Step Guide

**Directions:**
1. **List the factors** of the numerator and denominator.
2. **Circle** the Greatest Common Factor (GCF).
3. **Divide** both parts of the fraction by their GCF.
4. **Rewrite** the fraction in simplest form.

**Example:**

\[
\frac{35}{55}
\]

Now let's simplify the fraction step by step.

1. **List the factors:**

   Factors of 35: 
   \[ 1, 5, 7, 35 \]
   
   Factors of 55:
   \[ 1, 5, 11, 55 \]
   
   The factors are listed in two separate boxes corresponding to 35 and 55, alongside the numbers.

2. **Circle the Greatest Common Factor (GCF):**
   The GCF of 35 and 55 is 5 (circled in red).

3. **Divide both parts of the fraction by their GCF:**

   \( 35 ÷ 5 \) and \( 55 ÷ 5 \)

   This step shows the division to simplify the fraction.

4. **Rewrite the fraction in simplest form:**

   \[
   \frac{35 ÷ 5}{55 ÷ 5} = \frac{7}{11}
   \]

**Illustration Details:**

On the right side of the diagram:
- There are two columns labeled 35 and 55.
- Each column contains boxes where the factors are listed.
- The shared factor, 5, is circled in red in both columns.

Following these steps, the fraction \( \frac{35}{55} \) is simplified to \( \frac{7}{11} \).
Transcribed Image Text:### Simplifying Fractions: Step-by-Step Guide **Directions:** 1. **List the factors** of the numerator and denominator. 2. **Circle** the Greatest Common Factor (GCF). 3. **Divide** both parts of the fraction by their GCF. 4. **Rewrite** the fraction in simplest form. **Example:** \[ \frac{35}{55} \] Now let's simplify the fraction step by step. 1. **List the factors:** Factors of 35: \[ 1, 5, 7, 35 \] Factors of 55: \[ 1, 5, 11, 55 \] The factors are listed in two separate boxes corresponding to 35 and 55, alongside the numbers. 2. **Circle the Greatest Common Factor (GCF):** The GCF of 35 and 55 is 5 (circled in red). 3. **Divide both parts of the fraction by their GCF:** \( 35 ÷ 5 \) and \( 55 ÷ 5 \) This step shows the division to simplify the fraction. 4. **Rewrite the fraction in simplest form:** \[ \frac{35 ÷ 5}{55 ÷ 5} = \frac{7}{11} \] **Illustration Details:** On the right side of the diagram: - There are two columns labeled 35 and 55. - Each column contains boxes where the factors are listed. - The shared factor, 5, is circled in red in both columns. Following these steps, the fraction \( \frac{35}{55} \) is simplified to \( \frac{7}{11} \).
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