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Fill in the blank If two terms of a r...

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If two terms of a ratio have no common factor (except1), ten the ratio is said to be in …. Or in…..

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To solve the question, we need to understand what it means for a ratio to have no common factors other than 1. This indicates that the two numbers in the ratio are relatively prime or coprime. ### Step-by-Step Solution: 1. **Understanding the Ratio**: A ratio compares two quantities. For example, the ratio of 2 to 3 can be written as 2:3 or 2/3. 2. **Identifying Common Factors**: When we say that two terms of a ratio have no common factor except 1, it means that the greatest common divisor (GCD) of the two numbers is 1. 3. **Examples of Ratios**: - Consider the ratio 2:3. The factors of 2 are 1, 2, and the factors of 3 are 1, 3. The only common factor is 1. - Another example is the ratio 5:6. The factors of 5 are 1, 5 and the factors of 6 are 1, 2, 3, 6. Again, the only common factor is 1. 4. **Defining the Terms**: When a ratio has no common factors (other than 1), it is considered to be in its simplest form or lowest form. 5. **Filling in the Blanks**: Therefore, the correct terms to fill in the blanks are "simplest" and "lowest form". ### Final Answer: If two terms of a ratio have no common factor (except 1), then the ratio is said to be in **simplest** or in **lowest form**. ---
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