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Simplify the fraction (p × q) / q. What is the result?
- a)p/q +1
- b)p/q +q
- c)p
- d)p/q +p
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Simplify the fraction (p × q) / q. What is the result?a)p/q +1b)p/q +q...
Step 1: Write the expression
(p × q) / q
(p × q) / q
Step 2: Apply the division rule
Dividing by q means we can cancel q from both the numerator and the denominator (only if q ≠ 0).
Dividing by q means we can cancel q from both the numerator and the denominator (only if q ≠ 0).
So: (p × q) / q = p × (q ÷ q)
Step 3: Simplify q ÷ q
q ÷ q = 1 (since anything divided by itself is 1, except when the denominator is 0).
q ÷ q = 1 (since anything divided by itself is 1, except when the denominator is 0).
Step 4: Final simplification
= p × 1
= p
= p × 1
= p
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Simplify the fraction (p × q) / q. What is the result?a)p/q +1b)p/q +q...
Understanding the Fraction
To simplify the fraction (p × q) / q, we need to analyze the components of the fraction carefully.
Step 1: Identify the Components
- The numerator is p × q.
- The denominator is q.
Step 2: Simplifying the Fraction
- When you divide p × q by q, you can cancel out the common factor q in the numerator and the denominator.
Step 3: Cancelling Out q
- This gives us:
(p × q) / q = p
Thus, the simplified result of the fraction (p × q) / q is simply p.
Assessing the Options
Now, let's evaluate the provided options to see which one matches our simplified result:
- a) p/q + 1: This doesn't equal p.
- b) p/q + q: This also doesn't equal p.
- c) p d: This option is misleading since it seems to be a typographical error. If it refers to p (as it is) then it matches.
- d) p/q + p: This doesn't equal p either.
Conclusion
Based on our simplification, the correct interpretation of option 'C' seems to just suggest 'p', despite the typographical ambiguity. Therefore, the simplified result of the fraction (p × q) / q is indeed p, aligning with option 'C' when interpreted correctly.
Thus, always remember, dividing by a variable cancels it out, simplifying the expression effectively.
To simplify the fraction (p × q) / q, we need to analyze the components of the fraction carefully.
Step 1: Identify the Components
- The numerator is p × q.
- The denominator is q.
Step 2: Simplifying the Fraction
- When you divide p × q by q, you can cancel out the common factor q in the numerator and the denominator.
Step 3: Cancelling Out q
- This gives us:
(p × q) / q = p
Thus, the simplified result of the fraction (p × q) / q is simply p.
Assessing the Options
Now, let's evaluate the provided options to see which one matches our simplified result:
- a) p/q + 1: This doesn't equal p.
- b) p/q + q: This also doesn't equal p.
- c) p d: This option is misleading since it seems to be a typographical error. If it refers to p (as it is) then it matches.
- d) p/q + p: This doesn't equal p either.
Conclusion
Based on our simplification, the correct interpretation of option 'C' seems to just suggest 'p', despite the typographical ambiguity. Therefore, the simplified result of the fraction (p × q) / q is indeed p, aligning with option 'C' when interpreted correctly.
Thus, always remember, dividing by a variable cancels it out, simplifying the expression effectively.
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Simplify the fraction (p × q) / q. What is the result?a)p/q +1b)p/q +qc)pd)p/q +pCorrect answer is option 'C'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Simplify the fraction (p × q) / q. What is the result?a)p/q +1b)p/q +qc)pd)p/q +pCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify the fraction (p × q) / q. What is the result?a)p/q +1b)p/q +qc)pd)p/q +pCorrect answer is option 'C'. Can you explain this answer?.
Simplify the fraction (p × q) / q. What is the result?a)p/q +1b)p/q +qc)pd)p/q +pCorrect answer is option 'C'. Can you explain this answer? for Class 7 2025 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Simplify the fraction (p × q) / q. What is the result?a)p/q +1b)p/q +qc)pd)p/q +pCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 7 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Simplify the fraction (p × q) / q. What is the result?a)p/q +1b)p/q +qc)pd)p/q +pCorrect answer is option 'C'. Can you explain this answer?.
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