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In Mathematics / Middle School | 2014-11-13

Explain how you know that [tex]\frac{7}{12}[/tex] is greater than [tex]\frac{1}{3}[/tex] but less than [tex]\frac{2}{3}[/tex].

Asked by tyty09

Answer (3)

You can put them into decimals. 7/12=0.58 1/3=0.33 2/3=0.66
(to find decimals divide the top number by the bottom)
:)

Answered by Anonymous | 2024-06-10

convert all of these to a common denominator: 7/12 , 1/3 , 2/3
7/12 = 7/12 1/3 = 4/12 2/3 = 8/12
place into compound inequality:
(1/3=4/12) < (7/12=7/12) < (2/3=8/12)

Answered by stanly | 2024-06-10

The fraction 12 7 ​ is greater than 3 1 ​ because it converts approximately to 0.5833, which is larger than 0.3333. It is less than 3 2 ​ , which converts to approximately 0.6667. Therefore, 12 7 ​ is between 3 1 ​ and 3 2 ​ .
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Answered by Anonymous | 2024-12-26