Class 8 Exam > Class 8 Questions > Which of the following is the product of (-1/...
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Which of the following is the product of (-1/8) and 3/21?
- a)-3/168
- b)-4/65
- c)3/168
- d)4/65
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Which of the following is the product of (-1/8) and 3/21?a)-3/168b)-4/...
Understanding the Problem
To find the product of two fractions, we need to multiply the numerators together and the denominators together. The fractions we are working with are:
- (-1/8)
- (3/21)
Multiplying the Fractions
1. Multiply the Numerators:
- The numerator of the first fraction is -1.
- The numerator of the second fraction is 3.
- So, -1 * 3 = -3.
2. Multiply the Denominators:
- The denominator of the first fraction is 8.
- The denominator of the second fraction is 21.
- So, 8 * 21 = 168.
Forming the New Fraction
Now we can combine the results of our multiplication:
- The new fraction is (-3/168).
Simplifying the Fraction
Next, we simplify the fraction:
- Both -3 and 168 can be divided by 3.
- Dividing -3 by 3 gives -1.
- Dividing 168 by 3 gives 56.
Thus, the simplified fraction is:
- (-1/56)
However, the answer choices provided are in a different format, so we must ensure we represent it correctly.
Identifying the Correct Option
The product we calculated is -3/168, which matches option 'A' directly. Therefore, the correct answer is:
- Option A: -3/168.
This confirms the calculation is accurate, maintaining the integrity of the mathematical process.
To find the product of two fractions, we need to multiply the numerators together and the denominators together. The fractions we are working with are:
- (-1/8)
- (3/21)
Multiplying the Fractions
1. Multiply the Numerators:
- The numerator of the first fraction is -1.
- The numerator of the second fraction is 3.
- So, -1 * 3 = -3.
2. Multiply the Denominators:
- The denominator of the first fraction is 8.
- The denominator of the second fraction is 21.
- So, 8 * 21 = 168.
Forming the New Fraction
Now we can combine the results of our multiplication:
- The new fraction is (-3/168).
Simplifying the Fraction
Next, we simplify the fraction:
- Both -3 and 168 can be divided by 3.
- Dividing -3 by 3 gives -1.
- Dividing 168 by 3 gives 56.
Thus, the simplified fraction is:
- (-1/56)
However, the answer choices provided are in a different format, so we must ensure we represent it correctly.
Identifying the Correct Option
The product we calculated is -3/168, which matches option 'A' directly. Therefore, the correct answer is:
- Option A: -3/168.
This confirms the calculation is accurate, maintaining the integrity of the mathematical process.
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Which of the following is the product of (-1/8) and 3/21?a)-3/168b)-4/65c)3/168d)4/65Correct answer is option 'A'. Can you explain this answer? for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Which of the following is the product of (-1/8) and 3/21?a)-3/168b)-4/65c)3/168d)4/65Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is the product of (-1/8) and 3/21?a)-3/168b)-4/65c)3/168d)4/65Correct answer is option 'A'. Can you explain this answer?.
Which of the following is the product of (-1/8) and 3/21?a)-3/168b)-4/65c)3/168d)4/65Correct answer is option 'A'. Can you explain this answer? for Class 8 2025 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Which of the following is the product of (-1/8) and 3/21?a)-3/168b)-4/65c)3/168d)4/65Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Class 8 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following is the product of (-1/8) and 3/21?a)-3/168b)-4/65c)3/168d)4/65Correct answer is option 'A'. Can you explain this answer?.
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