https://file.aiquickdraw.com/mathbot/file/1726258241743pagn8wzi.jpg

The worksheet in the image appears to involve comparing fractions and deciding whether the left-hand fraction is greater than, less than, or equal to the right-hand fraction. Let's work through the problems shown in the image.

For each exercise, you're comparing two fractions. Here's how to approach it:

### Step-by-step method to compare fractions:
1. **Find the Least Common Denominator (LCD)**: If the fractions have different denominators, convert them to equivalent fractions with the same denominator.
2. **Convert Fractions**: If necessary, convert both fractions so that they have the same denominator.
3. **Compare the Numerators**: Once both fractions have the same denominator, compare the numerators. The fraction with the larger numerator will be the larger fraction.

Now, let's walk through a couple of these problems from the image.

### Example from the Image:
1. **Problem 1: Compare \( \frac{3}{8} \) and \( \frac{5}{8} \)**
   - These two fractions have the same denominator, 8.
   - Now compare the numerators: 3 vs. 5.
   - \( 3 < 5 \), so \( \frac{3}{8} < \frac{5}{8} \).

2. **Problem 2: Compare \( \frac{5}{8} \) and \( \frac{7}{8} \)**
   - Same denominator (8), compare the numerators: 5 vs. 7.
   - \( 5 < 7 \), so \( \frac{5}{8} < \frac{7}{8} \).

Would you like me to go through the rest of the problems or explain another concept further? Here are some related questions that could help your understanding:

1. How do you convert two fractions to have the same denominator?
2. What is the process for comparing improper fractions?
3. How can you simplify fractions before comparing them?
4. What happens when one of the fractions is a mixed number?
5. How can cross-multiplication help when comparing fractions?

**Tip**: When comparing fractions, if the numerators are close, converting to decimal form or using cross-multiplication may simplify your comparison.

Let me know how you'd like to proceed!

Compare fractions to determine whether one is greater than, less than, or equal to another.

Learn how to compare fractions by determining if they are greater than, less than, or equal to each other. This worksheet guides students through the process of comparing fractions using techniques like finding the least common denominator and cross-multiplication.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation