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Select those which can be written as a rational number with denominator 4 in their lowest form: 7/2, 64/16, 36/- 12, - 16/17, 5/4, 140/26?
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Select those which can be written as a rational number with denominato...
Identifying rational numbers with denominator 4
Rational numbers are numbers that can be expressed as a fraction of two integers. When a rational number is written in its lowest form, it means that the numerator and denominator have no common factors other than 1. In this case, we are looking for rational numbers with a denominator of 4 in their lowest form.
Analysis of given fractions:
- 7/2: This fraction cannot be written with a denominator of 4 in its lowest form because 2 and 4 have a common factor of 2.
- 64/16: This fraction can be simplified to 4/1, which is equivalent to 4 when the denominator is 4.
- 36/-12: This fraction can be simplified to -3/1, which is equivalent to -3 when the denominator is 4.
- -16/17: This fraction cannot be written with a denominator of 4 in its lowest form because 17 and 4 do not share any common factors.
- 5/4: This fraction is already in its lowest form with a denominator of 4.
- 140/26: This fraction can be simplified to 70/13, which cannot be expressed with a denominator of 4 in its lowest form.
Conclusion:
The rational numbers that can be expressed with a denominator of 4 in their lowest form are 64/16, which simplifies to 4/1, and 5/4. These fractions meet the criteria of having a denominator of 4 and being in their lowest form.
Rational numbers are numbers that can be expressed as a fraction of two integers. When a rational number is written in its lowest form, it means that the numerator and denominator have no common factors other than 1. In this case, we are looking for rational numbers with a denominator of 4 in their lowest form.
Analysis of given fractions:
- 7/2: This fraction cannot be written with a denominator of 4 in its lowest form because 2 and 4 have a common factor of 2.
- 64/16: This fraction can be simplified to 4/1, which is equivalent to 4 when the denominator is 4.
- 36/-12: This fraction can be simplified to -3/1, which is equivalent to -3 when the denominator is 4.
- -16/17: This fraction cannot be written with a denominator of 4 in its lowest form because 17 and 4 do not share any common factors.
- 5/4: This fraction is already in its lowest form with a denominator of 4.
- 140/26: This fraction can be simplified to 70/13, which cannot be expressed with a denominator of 4 in its lowest form.
Conclusion:
The rational numbers that can be expressed with a denominator of 4 in their lowest form are 64/16, which simplifies to 4/1, and 5/4. These fractions meet the criteria of having a denominator of 4 and being in their lowest form.
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Select those which can be written as a rational number with denominator 4 in their lowest form: 7/2, 64/16, 36/- 12, - 16/17, 5/4, 140/26?
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Select those which can be written as a rational number with denominator 4 in their lowest form: 7/2, 64/16, 36/- 12, - 16/17, 5/4, 140/26? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Select those which can be written as a rational number with denominator 4 in their lowest form: 7/2, 64/16, 36/- 12, - 16/17, 5/4, 140/26? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Select those which can be written as a rational number with denominator 4 in their lowest form: 7/2, 64/16, 36/- 12, - 16/17, 5/4, 140/26?.
Select those which can be written as a rational number with denominator 4 in their lowest form: 7/2, 64/16, 36/- 12, - 16/17, 5/4, 140/26? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Select those which can be written as a rational number with denominator 4 in their lowest form: 7/2, 64/16, 36/- 12, - 16/17, 5/4, 140/26? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Select those which can be written as a rational number with denominator 4 in their lowest form: 7/2, 64/16, 36/- 12, - 16/17, 5/4, 140/26?.
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