Worksheets for practicing common multiples and equivalent fractions.

It looks like you've uploaded a worksheet titled "Using Common Multiples", which includes several math problems focused on finding common multiples, identifying equivalent fractions using common denominators, and applying the concept of least common multiples (LCM) in fraction operations.

Since I can't view or analyze images directly, I’ll help you solve the problems if you describe them or type out the specific questions from the worksheet. However, based on the visible content and typical structure of such worksheets, I can guide you through solving common types of problems found on this sheet.

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🔍 Typical Problems on This Worksheet

Here are the likely sections and how to solve them:

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✔ Section 1: Find the common multiples of two numbers

Example:
*Find the common multiples of 4 and 6.*

Steps:
1. List multiples of each number:
- Multiples of 4: 4, 8, 12, 16, 20, 24, 28, ...
- Multiples of 6: 6, 12, 18, 24, 30, ...
2. Identify common ones: 12, 24, 36, ...
3. The least common multiple (LCM) is 12.

✔ Answer: Common multiples are 12, 24, 36, ...

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✔ Section 2: Use common multiples to write equivalent fractions

Example:
*Write 1/4 and 1/6 with a common denominator.*

Steps:
1. Find LCM of 4 and 6 → LCM = 12
2. Convert each fraction:
- 1/4 = (1×3)/(4×3) = 3/12
- 1/6 = (1×2)/(6×2) = 2/12
3. So, 1/4 = 3/12 and 1/6 = 2/12

✔ Answer: 3/12 and 2/12

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✔ Section 3: Fill in blanks for equivalent fractions

Example:
*1/2 = ?/4*

Steps:
- Multiply numerator and denominator by 2: (1×2)/(2×2) = 2/4

✔ Answer: 2

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✔ Section 4: Match equivalent fractions

Example:
*Which of these is equivalent to 2/5?*
A) 4/10
B) 3/7
C) 6/15

Steps:
- Check if they simplify to 2/5:
- 4/10 = 2/5 ✔️
- 6/15 = 2/5 ✔️
- Both A and C are correct.

✔ Answer: A and C

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✔ Challenge: Work with a partner – write your own problem

This encourages students to create a question involving common multiples or equivalent fractions. Example:
> "Write 3/8 and 5/12 as equivalent fractions with a common denominator."

Solution:
- LCM of 8 and 12 = 24
- 3/8 = 9/24
- 5/12 = 10/24

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🛠️ General Tips:

- Always find the LCM when working with fractions.
- Use multiplication to convert fractions to have the same denominator.
- Practice listing multiples until you spot overlaps.

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