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The denominator of a fraction is 7. What can be the possible fraction?
- a)7/6
- b)6/7
- c)7/3
- d)2/3
Correct answer is option 'B'. Can you explain this answer?
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The denominator of a fraction is 7. What can be the possible fraction?...
Possible Fraction with Denominator 7
To find the possible fractions with a denominator of 7, we need to consider all the numbers that are divisible by 7. Let's break down the process into steps:
Step 1: Identify all numbers divisible by 7
- 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, ...
Step 2: Form the fractions
- To form fractions, we can choose any of the numbers from Step 1 as the numerator.
- For example, if we choose 14 as the numerator, the fraction would be 14/7.
- Similarly, if we choose 21 as the numerator, the fraction would be 21/7.
Step 3: Simplify the fractions
- It is important to simplify the fractions to their simplest form.
- For example, 14/7 can be simplified to 2/1 or just 2.
Step 4: Analyzing the options
Now, let's analyze the options given:
a) 7/6: The denominator is 6, which is not 7. So this fraction does not satisfy the given condition.
b) 6/7: The denominator is 7, which is exactly what we are looking for. The numerator is 6, which is divisible by 6. This fraction satisfies the given condition.
c) 7/3: The denominator is 3, which is not 7. So this fraction does not satisfy the given condition.
d) 2/3: The denominator is 3, which is not 7. So this fraction does not satisfy the given condition.
Conclusion
From the analysis, we can see that the only possible fraction with a denominator of 7 is option 'B', which is 6/7.
To find the possible fractions with a denominator of 7, we need to consider all the numbers that are divisible by 7. Let's break down the process into steps:
Step 1: Identify all numbers divisible by 7
- 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, ...
Step 2: Form the fractions
- To form fractions, we can choose any of the numbers from Step 1 as the numerator.
- For example, if we choose 14 as the numerator, the fraction would be 14/7.
- Similarly, if we choose 21 as the numerator, the fraction would be 21/7.
Step 3: Simplify the fractions
- It is important to simplify the fractions to their simplest form.
- For example, 14/7 can be simplified to 2/1 or just 2.
Step 4: Analyzing the options
Now, let's analyze the options given:
a) 7/6: The denominator is 6, which is not 7. So this fraction does not satisfy the given condition.
b) 6/7: The denominator is 7, which is exactly what we are looking for. The numerator is 6, which is divisible by 6. This fraction satisfies the given condition.
c) 7/3: The denominator is 3, which is not 7. So this fraction does not satisfy the given condition.
d) 2/3: The denominator is 3, which is not 7. So this fraction does not satisfy the given condition.
Conclusion
From the analysis, we can see that the only possible fraction with a denominator of 7 is option 'B', which is 6/7.
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The denominator of a fraction is 7. What can be the possible fraction?a)7/6b)6/7c)7/3d)2/3Correct answer is option 'B'. Can you explain this answer?
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