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To reduce a rational number to its standard form, we divide its numerator and denominator by their
- a)LCM
- b)HCF
- c)product
- d)multiple
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
To reduce a rational number to its standard form, we divide its numera...
Understanding Rational Numbers
A rational number is expressed as a fraction, where the numerator and denominator are integers. To reduce a rational number to its standard form, we need to simplify this fraction.
Why Use HCF for Simplification?
When simplifying a fraction, our goal is to find the simplest form where the numerator and denominator have no common factors other than 1. This is where the HCF (Highest Common Factor) comes into play.
Steps to Reduce a Rational Number:
- Identify the numerator and the denominator of the fraction.
- Find the HCF of the numerator and denominator.
- Divide both the numerator and the denominator by this HCF.
Example:
Consider the fraction 8/12.
- The HCF of 8 and 12 is 4.
- Dividing both by 4 gives us 2/3.
Now, 2/3 is in its simplest form.
Why Not Use Other Options?
- LCM (Least Common Multiple): This is used for finding common denominators, not for simplification.
- Product: Dividing by the product would not yield a reduced fraction but rather complicate it.
- Multiple: Using a multiple could lead to larger numbers, not a simplified form.
Conclusion
Reducing a rational number to its standard form efficiently requires dividing by the HCF. This ensures that the fraction is expressed in its simplest terms, making it easier to work with in mathematical operations.
A rational number is expressed as a fraction, where the numerator and denominator are integers. To reduce a rational number to its standard form, we need to simplify this fraction.
Why Use HCF for Simplification?
When simplifying a fraction, our goal is to find the simplest form where the numerator and denominator have no common factors other than 1. This is where the HCF (Highest Common Factor) comes into play.
Steps to Reduce a Rational Number:
- Identify the numerator and the denominator of the fraction.
- Find the HCF of the numerator and denominator.
- Divide both the numerator and the denominator by this HCF.
Example:
Consider the fraction 8/12.
- The HCF of 8 and 12 is 4.
- Dividing both by 4 gives us 2/3.
Now, 2/3 is in its simplest form.
Why Not Use Other Options?
- LCM (Least Common Multiple): This is used for finding common denominators, not for simplification.
- Product: Dividing by the product would not yield a reduced fraction but rather complicate it.
- Multiple: Using a multiple could lead to larger numbers, not a simplified form.
Conclusion
Reducing a rational number to its standard form efficiently requires dividing by the HCF. This ensures that the fraction is expressed in its simplest terms, making it easier to work with in mathematical operations.
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To reduce a rational number to its standard form, we divide its numera...
To reduce a rational number to its standard form, we divide its numerator and denominator by their HCF (Highest Common Factor). This ensures the fraction is in its simplest form.
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To reduce a rational number to its standard form, we divide its numerator and denominator by theira)LCMb)HCFc)productd)multipleCorrect answer is option 'B'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about To reduce a rational number to its standard form, we divide its numerator and denominator by theira)LCMb)HCFc)productd)multipleCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for To reduce a rational number to its standard form, we divide its numerator and denominator by theira)LCMb)HCFc)productd)multipleCorrect answer is option 'B'. Can you explain this answer?.
To reduce a rational number to its standard form, we divide its numerator and denominator by theira)LCMb)HCFc)productd)multipleCorrect answer is option 'B'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about To reduce a rational number to its standard form, we divide its numerator and denominator by theira)LCMb)HCFc)productd)multipleCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for To reduce a rational number to its standard form, we divide its numerator and denominator by theira)LCMb)HCFc)productd)multipleCorrect answer is option 'B'. Can you explain this answer?.
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