https://file.aiquickdraw.com/mathbot/file/1727645681166t67vmg9a.jpg

Let's analyze the fraction sequences in the image. Here's a breakdown of the sequences that need to be completed:

**a.** \( \frac{2}{10}, \frac{5}{10}, \frac{8}{10} \)
   - The sequence is increasing by \( \frac{3}{10} \) each time.
   - Next fractions should be \( \frac{11}{10}, \frac{14}{10}, \frac{17}{10} \).

**b.** \( 2\frac{1}{4}, 3, 3\frac{3}{4} \)
   - This is a mixed fraction sequence increasing by \( \frac{3}{4} \).
   - Next terms: \( 4\frac{1}{2}, 5\frac{1}{4}, 6 \).

**c.** \( 1\frac{3}{5}, 2, 2\frac{2}{5} \)
   - The sequence increases by \( \frac{2}{5} \).
   - Next terms: \( 2\frac{4}{5}, 3\frac{1}{5}, 3\frac{3}{5} \).

**d.** \( 4\frac{1}{2}, 6, 7\frac{1}{2} \)
   - Sequence increases by \( 1\frac{1}{2} \) each time.
   - Next terms: \( 9, 10\frac{1}{2}, 12 \).

**e.** \( 1\frac{4}{6}, 2\frac{1}{6}, 2\frac{4}{6} \)
   - The sequence increases by \( \frac{3}{6} \), or \( \frac{1}{2} \).
   - Next terms: \( 3\frac{1}{6}, 3\frac{4}{6}, 4\frac{1}{6} \).

**f.** \( 2, 2\frac{2}{7}, 2\frac{4}{7} \)
   - The sequence increases by \( \frac{2}{7} \) each time.
   - Next terms: \( 2\frac{6}{7}, 3\frac{1}{7}, 3\frac{3}{7} \).

Would you like further details or explanations on any of the sequences? 

Here are 5 related questions:
1. What is the pattern for identifying the next term in a fraction sequence?
2. How do you convert improper fractions into mixed numbers?
3. What happens when the denominator changes in a sequence of fractions?
4. How can mixed fractions be added or subtracted?
5. Why is it important to simplify fractions in sequence patterns?

**Tip**: When dealing with fraction sequences, always observe the difference between consecutive terms to identify a pattern.

Copy and complete the fraction sequences provided in the image.

Learn how to complete fraction sequences by identifying common differences between fractions and mixed numbers. This guide covers arithmetic progression and is suitable for students in Grades 4-6. Includes examples of sequences with step-by-step solutions.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation