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Express ratios in simplest form - math worksheet exercise.

Math worksheet asking to express ratios in simplest form, including examples like 22:66, 7:49, 4:6, 6:15, 14:20, 33:44, 48:54, and 200:250.

Math worksheet asking to express ratios in simplest form, including examples like 22:66, 7:49, 4:6, 6:15, 14:20, 33:44, 48:54, and 200:250.

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Show Answer Key & Explanations Step-by-step solution for: Simplifying Ratios worksheet
Let's solve each of the given ratios and express them in simplest form. To simplify a ratio, we divide both numbers by their greatest common divisor (GCD).

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1. 22 : 66



- GCD of 22 and 66 is 22
- $ \frac{22}{22} : \frac{66}{22} = 1 : 3 $

Answer: 1 : 3

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2. 7 : 49



- GCD of 7 and 49 is 7
- $ \frac{7}{7} : \frac{49}{7} = 1 : 7 $

Answer: 1 : 7

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3. 4 : 6



- GCD of 4 and 6 is 2
- $ \frac{4}{2} : \frac{6}{2} = 2 : 3 $

Answer: 2 : 3

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4. 6 : 15



- GCD of 6 and 15 is 3
- $ \frac{6}{3} : \frac{15}{3} = 2 : 5 $

Answer: 2 : 5

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5. 14 : 20



- GCD of 14 and 20 is 2
- $ \frac{14}{2} : \frac{20}{2} = 7 : 10 $

Answer: 7 : 10

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6. 33 : 44



- GCD of 33 and 44 is 11
- $ \frac{33}{11} : \frac{44}{11} = 3 : 4 $

Answer: 3 : 4

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7. 48 : 54



- GCD of 48 and 54 is 6
- $ \frac{48}{6} : \frac{54}{6} = 8 : 9 $

Answer: 8 : 9

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8. 200 : 250



- GCD of 200 and 250 is 50
- $ \frac{200}{50} : \frac{250}{50} = 4 : 5 $

Answer: 4 : 5

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Final Answers:



1. 1 : 3
2. 1 : 7
3. 2 : 3
4. 2 : 5
5. 7 : 10
6. 3 : 4
7. 8 : 9
8. 4 : 5

Let me know if you'd like a step-by-step explanation for any specific one!
Parent Tip: Review the logic above to help your child master the concept of reducing ratios worksheet.
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