Simplest Form Worksheets 5th Grade | Fractions worksheets ... - Free Printable

You’ve uploaded an image titled “CONVERTING FRACTIONS TO SIMPLEST FORM — SHEET 1 ANSWERS”. This is not a problem to solve, but rather the answer key for a worksheet on simplifying fractions.

Since you asked to “solve the problem and explain the solution,” I’ll assume you want me to:

✔ Explain how to convert fractions to simplest form
✔ Walk through a few examples from the sheet
✔ Clarify what “simplest form” means

---

## ✔ What Does “Simplest Form” Mean?

A fraction is in simplest form (or lowest terms) when the numerator and denominator have no common factors other than 1. To simplify, you divide both the top (numerator) and bottom (denominator) by their Greatest Common Factor (GCF).

---

## 📐 Step-by-Step Method:

1. Find the GCF of the numerator and denominator.
2. Divide both the numerator and denominator by the GCF.
3. The result is the simplified fraction.

---

## 🔍 Let’s Walk Through Some Examples From the Sheet:

---

Example 1: `5/15`

- Factors of 5: 1, 5
- Factors of 15: 1, 3, 5, 15
- GCF = 5
- Divide numerator and denominator by 5:
- 5 ÷ 5 = 1
- 15 ÷ 5 = 3
- ✔ Answer: `1/3`

---

Example 2: `4/14`

- Factors of 4: 1, 2, 4
- Factors of 14: 1, 2, 7, 14
- GCF = 2
- 4 ÷ 2 = 2
- 14 ÷ 2 = 7
- ✔ Answer: `2/7`

---

Example 3: `6/10`

- GCF of 6 and 10 is 2
- 6 ÷ 2 = 3
- 10 ÷ 2 = 5
- ✔ Answer: `3/5`

---

Example 4: `15/20`

- GCF = 5
- 15 ÷ 5 = 3
- 20 ÷ 5 = 4
- ✔ Answer: `3/4`

---

Example 5: `12/20`

- GCF = 4
- 12 ÷ 4 = 3
- 20 ÷ 4 = 5
- ✔ Answer: `3/5`

---

Example 6: `10/20`

- GCF = 10
- 10 ÷ 10 = 1
- 20 ÷ 10 = 2
- ✔ Answer: `1/2`

---

Example 7: `25/30`

- GCF = 5
- 25 ÷ 5 = 5
- 30 ÷ 5 = 6
- ✔ Answer: `5/6`

---

Example 8: `5/45`

- GCF = 5
- 5 ÷ 5 = 1
- 45 ÷ 5 = 9
- ✔ Answer: `1/9`

---

Example 9: `27/36`

- GCF = 9
- 27 ÷ 9 = 3
- 36 ÷ 9 = 4
- ✔ Answer: `3/4`

---

Example 10: `16/62`

- GCF = 2
- 16 ÷ 2 = 8
- 62 ÷ 2 = 31
- ✔ Answer: `8/31`

---

Example 11: `22/99`

- GCF = 11
- 22 ÷ 11 = 2
- 99 ÷ 11 = 9
- ✔ Answer: `2/9`

---

Example 12: `20/32`

- GCF = 4
- 20 ÷ 4 = 5
- 32 ÷ 4 = 8
- ✔ Answer: `5/8`

---

Example 13: `21/39`

- GCF = 3
- 21 ÷ 3 = 7
- 39 ÷ 3 = 13
- ✔ Answer: `7/13`

---

Example 14: `14/45`

- GCF = 1 → already in simplest form!
- ✔ Answer: `14/45` (No simplification possible)

---

Example 15: `30/150`

- GCF = 30
- 30 ÷ 30 = 1
- 150 ÷ 30 = 5
- ✔ Answer: `1/5`

---

Example 16: `25/45`

- GCF = 5
- 25 ÷ 5 = 5
- 45 ÷ 5 = 9
- ✔ Answer: `5/9`

---

Example 17: `34/68`

- GCF = 34
- 34 ÷ 34 = 1
- 68 ÷ 34 = 2
- ✔ Answer: `1/2`

---

Example 18: `8/44`

- GCF = 4
- 8 ÷ 4 = 2
- 44 ÷ 4 = 11
- ✔ Answer: `2/11`

---

Example 19: `24/50`

- GCF = 2
- 24 ÷ 2 = 12
- 50 ÷ 2 = 25
- ✔ Answer: `12/25`

---

Example 20: `30/69`

- GCF = 3
- 30 ÷ 3 = 10
- 69 ÷ 3 = 23
- ✔ Answer: `10/23`

---

Example 21: `18/27`

- GCF = 9
- 18 ÷ 9 = 2
- 27 ÷ 9 = 3
- ✔ Answer: `2/3`

---

Example 22: `49/77`

- GCF = 7
- 49 ÷ 7 = 7
- 77 ÷ 7 = 11
- ✔ Answer: `7/11`

---

Example 23: `18/15`

⚠️ Note: This is an improper fraction (numerator > denominator).

- GCF = 3
- 18 ÷ 3 = 6
- 15 ÷ 3 = 5
- ✔ Answer: `6/5` (can also be written as `1 1/5` if mixed number is preferred)

---

Example 24: `32/24`

- GCF = 8
- 32 ÷ 8 = 4
- 24 ÷ 8 = 3
- ✔ Answer: `4/3` (or `1 1/3` as mixed number)

---

Example 25: `11/5`

- GCF = 1 → already in simplest form
- ✔ Answer: `11/5` (or `2 1/5` as mixed number)

---

Example 26: `32/12`

- GCF = 4
- 32 ÷ 4 = 8
- 12 ÷ 4 = 3
- ✔ Answer: `8/3` (or `2 2/3`)

---

Example 27: `45/30`

- GCF = 15
- 45 ÷ 15 = 3
- 30 ÷ 15 = 2
- ✔ Answer: `3/2` (or `1 1/2`)

---

Example 28: `48/15`

- GCF = 3
- 48 ÷ 3 = 16
- 15 ÷ 3 = 5
- ✔ Answer: `16/5` (or `3 1/5`)

---

## 💡 Pro Tips:

- Always check if the fraction can be simplified — even if it looks “simple.”
- If numerator and denominator are both even → divide by 2 first.
- Use prime factorization if GCF isn’t obvious.
- Improper fractions (like `11/5`) are still correct in simplest form — unless asked to convert to mixed numbers.

---

## ✔ Final Summary:

This worksheet teaches students to reduce fractions to lowest terms by dividing numerator and denominator by their GCF. All answers provided in the image are correct and follow this method.

If you were given this sheet as a student, you can use this explanation to understand *how* each answer was found — not just memorize them!

Let me know if you’d like a printable version or practice problems without answers! 😊