Class 1 Exam > Class 1 Questions > If you multiply 2/5 by its reciprocal, what d...
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If you multiply 2/5 by its reciprocal, what do you get?
- a)0
- b)1
- c)2/5
- d)5/2
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
If you multiply 2/5 by its reciprocal, what do you get?a)0b)1c)2/5d)5/...
Question Analysis:
We are given the fraction 2/5 and we need to multiply it by its reciprocal. We need to determine the result of this multiplication.
Reciprocal of a Fraction:
The reciprocal of a fraction is obtained by interchanging the numerator and the denominator of the fraction. For example, the reciprocal of 3/4 is 4/3.
Solution:
To find the reciprocal of 2/5, we interchange the numerator and denominator. The reciprocal of 2/5 is 5/2.
Now, we need to multiply 2/5 by its reciprocal, which is 5/2.
Multiplication of Fractions:
When multiplying fractions, we multiply the numerators together and the denominators together. The product is the result of the multiplication.
In this case, we multiply 2/5 by 5/2:
(2/5) * (5/2)
Numerator:
Multiplying the numerators, we get:
2 * 5 = 10
Denominator:
Multiplying the denominators, we get:
5 * 2 = 10
Product:
Therefore, the result of the multiplication is 10/10.
Simplifying the Fraction:
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 10 in this case.
Dividing the numerator and denominator by 10, we get:
10/10 = 1
Thus, when we multiply 2/5 by its reciprocal, the result is 1.
Answer:
Therefore, the correct answer is option B) 1.
We are given the fraction 2/5 and we need to multiply it by its reciprocal. We need to determine the result of this multiplication.
Reciprocal of a Fraction:
The reciprocal of a fraction is obtained by interchanging the numerator and the denominator of the fraction. For example, the reciprocal of 3/4 is 4/3.
Solution:
To find the reciprocal of 2/5, we interchange the numerator and denominator. The reciprocal of 2/5 is 5/2.
Now, we need to multiply 2/5 by its reciprocal, which is 5/2.
Multiplication of Fractions:
When multiplying fractions, we multiply the numerators together and the denominators together. The product is the result of the multiplication.
In this case, we multiply 2/5 by 5/2:
(2/5) * (5/2)
Numerator:
Multiplying the numerators, we get:
2 * 5 = 10
Denominator:
Multiplying the denominators, we get:
5 * 2 = 10
Product:
Therefore, the result of the multiplication is 10/10.
Simplifying the Fraction:
To simplify the fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 10 in this case.
Dividing the numerator and denominator by 10, we get:
10/10 = 1
Thus, when we multiply 2/5 by its reciprocal, the result is 1.
Answer:
Therefore, the correct answer is option B) 1.
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Community Answer
If you multiply 2/5 by its reciprocal, what do you get?a)0b)1c)2/5d)5/...
The reciprocal of 2/5 is 5/2. When you multiply a fraction by its reciprocal, you get 1 (the identity property of multiplication).
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If you multiply 2/5 by its reciprocal, what do you get?a)0b)1c)2/5d)5/2Correct answer is option 'B'. Can you explain this answer? for Class 1 2025 is part of Class 1 preparation. The Question and answers have been prepared according to the Class 1 exam syllabus. Information about If you multiply 2/5 by its reciprocal, what do you get?a)0b)1c)2/5d)5/2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 1 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If you multiply 2/5 by its reciprocal, what do you get?a)0b)1c)2/5d)5/2Correct answer is option 'B'. Can you explain this answer?.
If you multiply 2/5 by its reciprocal, what do you get?a)0b)1c)2/5d)5/2Correct answer is option 'B'. Can you explain this answer? for Class 1 2025 is part of Class 1 preparation. The Question and answers have been prepared according to the Class 1 exam syllabus. Information about If you multiply 2/5 by its reciprocal, what do you get?a)0b)1c)2/5d)5/2Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for Class 1 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If you multiply 2/5 by its reciprocal, what do you get?a)0b)1c)2/5d)5/2Correct answer is option 'B'. Can you explain this answer?.
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