Read the given statements carefully and select the correct option.Stat...
The fraction 3/4 is not greater than 2/3; it is less than 2/3, making Statement I false. The decimal 0.75 is indeed equivalent to 3/4, making Statement II true.
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Read the given statements carefully and select the correct option.Stat...
Understanding the Statements
To determine if both statements are true, let's analyze each one individually.
Statement I: The fraction 3/4 is greater than 2/3.
- To compare the two fractions, we can find a common denominator.
- The common denominator for 4 and 3 is 12.
- Converting each fraction:
- 3/4 = 9/12
- 2/3 = 8/12
- Since 9/12 is greater than 8/12, Statement I is true.
Statement II: The decimal 0.75 is equivalent to 3/4.
- To confirm if 0.75 equals 3/4, we can convert 3/4 into a decimal.
- Dividing 3 by 4 gives us 0.75.
- Therefore, Statement II is also true.
Conclusion
Since both statements are confirmed as true:
- Correct Answer: Option D (Both Statement I and Statement II are true).
In summary:
- Statement I is true: 3/4 is indeed greater than 2/3.
- Statement II is true: 0.75 is equivalent to 3/4.
This clarification showcases the correctness of the answer.