Divide the following and write an equivalent equation by following the given example. 

Example: 19➗15=3+4/5 <—> 19=3 (5) +4

1) 29➗15=_<—>_
2) 34 ➗7=_<—>_
3.)145 ➗ 11=_<—>_
4.) 122 ➗ 7= _<—>_
5.) 219 ➗ 15=_<—>_

Let's follow the format provided in the example:

### Example format:
19 ➗ 15 = 3 + 4/5 <—> 19 = 3(5) + 4

This is done using **division** and expressing the **remainder** as a fraction over the divisor.

Now, for each of the given problems:

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### 1) \( 29 \div 15 \)
- \( 29 \div 15 = 1 \) with a remainder of \( 14 \)
- \( 29 \div 15 = 1 + 14/15 \) <—> \( 29 = 1(15) + 14 \)

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### 2) \( 34 \div 7 \)
- \( 34 \div 7 = 4 \) with a remainder of \( 6 \)
- \( 34 \div 7 = 4 + 6/7 \) <—> \( 34 = 4(7) + 6 \)

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### 3) \( 145 \div 11 \)
- \( 145 \div 11 = 13 \) with a remainder of \( 2 \)
- \( 145 \div 11 = 13 + 2/11 \) <—> \( 145 = 13(11) + 2 \)

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### 4) \( 122 \div 7 \)
- \( 122 \div 7 = 17 \) with a remainder of \( 3 \)
- \( 122 \div 7 = 17 + 3/7 \) <—> \( 122 = 17(7) + 3 \)

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### 5) \( 219 \div 15 \)
- \( 219 \div 15 = 14 \) with a remainder of \( 9 \)
- \( 219 \div 15 = 14 + 9/15 \) <—> \( 219 = 14(15) + 9 \)

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If you'd like further details or clarifications, feel free to ask!

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Here are 5 follow-up questions:

1. How can you express the remainder as a fraction in any division problem?
2. What does the term "remainder" signify in a division problem?
3. Can the remainder ever be equal to or greater than the divisor?
4. How would you handle a division problem if the remainder is zero?
5. Why is it useful to express division results in mixed number form?

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**Tip:** The remainder in any division must always be less than the divisor!

Divide the following and write an equivalent equation by following the given example.
Example: 19 ➗ 15 = 3 + 4/5 <—> 19 = 3(5) + 4
1) 29 ➗ 15=_<—>_
2) 34 ➗ 7=_<—>_
3.) 145 ➗ 11=_<—>_
4.) 122 ➗ 7= _<—>_
5.) 219 ➗ 15=_<—>_

Solve division problems and convert them to mixed numbers. Learn how to express remainders as fractions over divisors, using examples like 29 ÷ 15 and 145 ÷ 11. Suitable for students in Grades 5-7.

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