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A rational number equivalent to 5/7 is ?
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A rational number equivalent to 5/7 is ?
Rational Number Equivalent to 5/7
A rational number is any number that can be expressed as a ratio of two integers. Therefore, to find a rational number equivalent to 5/7, we need to express 5/7 as a fraction with integers in the numerator and denominator.
Finding the Equivalent Fraction
To find the equivalent fraction, we need to multiply both the numerator and denominator of 5/7 by the same integer. This integer should be chosen in such a way that the numerator and denominator become integers.
One way to do this is to multiply both the numerator and denominator of 5/7 by the denominator of the fraction, which is 7. This gives:
5/7 x 7/7 = 35/49
Therefore, the rational number equivalent to 5/7 is 35/49.
Verifying the Equivalent Fraction
We can verify that 35/49 is equivalent to 5/7 by simplifying the fraction. To simplify a fraction, we need to find the greatest common factor (GCF) of the numerator and denominator and divide both by it.
The GCF of 35 and 49 is 7. Dividing both the numerator and denominator by 7 gives:
35/49 ÷ 7/7 = 5/7
Therefore, 35/49 is equivalent to 5/7.
Conclusion
To find a rational number equivalent to 5/7, we need to express 5/7 as a fraction with integers in the numerator and denominator. To do this, we multiply both the numerator and denominator of 5/7 by the denominator of the fraction. This gives us 35/49 as the equivalent fraction. We can verify that 35/49 is equivalent to 5/7 by simplifying the fraction and dividing both the numerator and denominator by their GCF.
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A rational number equivalent to 5/7 is ?
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A rational number equivalent to 5/7 is ?
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A rational number equivalent to 5/7 is ? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A rational number equivalent to 5/7 is ? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rational number equivalent to 5/7 is ?.
A rational number equivalent to 5/7 is ? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A rational number equivalent to 5/7 is ? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A rational number equivalent to 5/7 is ?.
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