Simplifying Ratios math worksheet with 48 practice problems for reducing ratios and expressing them as fractions in simplest form.

Since I can't view or access images directly, I can't see the specific worksheet you uploaded. However, I can help you solve simplifying ratios problems like those typically found on such worksheets.

Let me explain how to solve these types of problems and walk through examples based on the format you described.

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🔹 Part A: Reduce each ratio

You're given ratios like `12:8`, and you need to reduce them to simplest form by dividing both numbers by their greatest common divisor (GCD).

#### Example:
Problem: 12:8
- Find GCD of 12 and 8 → GCD = 4
- Divide both by 4:
12 ÷ 4 = 3
8 ÷ 4 = 2
- Answer: 3:2

Let’s go through a few more:

| Problem | GCD | Simplified |
|--------|-----|------------|
| 1) 12:8 | 4 | 3:2 |
| 2) 2:20 | 2 | 1:10 |
| 3) 3:6 | 3 | 1:2 |
| 4) 16:4 | 4 | 4:1 |
| 5) 100:10 | 10 | 10:1 |
| 6) 10:60 | 10 | 1:6 |
| 7) 21:49 | 7 | 3:7 |
| 8) 20:40 | 20 | 1:2 |
| 9) 10:50 | 10 | 1:5 |
| 10) 16:18 | 2 | 8:9 |
| 11) 65:27 | 1 | 65:27 (already simplified) |
| 12) 21:15 | 3 | 7:5 |
| 13) 100:10 | 10 | 10:1 |
| 14) 35:45 | 5 | 7:9 |
| 15) 8:20 | 4 | 2:5 |
| 16) 25:55 | 5 | 5:11 |
| 17) 21:27 | 3 | 7:9 |
| 18) 52:62 | 2 | 26:31 |
| 19) 12:36 | 12 | 1:3 |
| 20) 24:3 | 3 | 8:1 |
| 21) 15:30 | 15 | 1:2 |
| 22) 14:63 | 7 | 2:9 |
| 23) 68:80 | 4 | 17:20 |
| 24) 8:80 | 8 | 1:10 |

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🔹 Part B: Write each ratio as a fraction in simplest form

Now convert the ratio into a fraction, then simplify.

For example:

Problem: 2:4
→ Fraction: 2/4
→ Simplify: divide numerator and denominator by GCD (2):
→ 1/2

Let’s do a few:

| Problem | Fraction | Simplified |
|--------|----------|------------|
| 25) 2:4 | 2/4 | 1/2 |
| 26) 6:28 | 6/28 | 3/14 |
| 27) 5:35 | 5/35 | 1/7 |
| 28) 10:55 | 10/55 | 2/11 |
| 29) 8:24 | 8/24 | 1/3 |
| 30) 9:42 | 9/42 | 3/14 |
| 31) 12:48 | 12/48 | 1/4 |
| 32) 6:40 | 6/40 | 3/20 |
| 33) 12:30 | 12/30 | 2/5 |
| 34) 38:82 | 38/82 | 19/41 |
| 35) 22:26 | 22/26 | 11/13 |
| 36) 8:36 | 8/36 | 2/9 |
| 37) 16:128 | 16/128 | 1/8 |
| 38) 14:77 | 14/77 | 2/11 |
| 39) 12:180 | 12/180 | 1/15 |
| 40) 36:100 | 36/100 | 9/25 |
| 41) 34:42 | 34/42 | 17/21 |
| 42) 14:120 | 14/120 | 7/60 |
| 43) 48:82 | 48/82 | 24/41 |
| 44) 60:240 | 60/240 | 1/4 |
| 45) 36:180 | 36/180 | 1/5 |

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✔ Tips for Solving These Problems:

1. Find the GCD of the two numbers.
2. Divide both numbers by the GCD.
3. For fractions, write the ratio as a fraction and reduce it the same way.

If you'd like, you can copy and paste the exact problems from your image here, and I’ll solve them step-by-step!

Let me know!