Which is greater: [tex]\frac{3}{7}[/tex] or [tex]\frac{7}{12}[/tex]?

Question

TacoGod · Answer

You may find this answer by finding the common denominator for both of them. Find the LCM, and we'll use the listing method. 
 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84 12: 12, 24, 36, 48, 60, 72, 84, 96 
 84 is the LCM. 
 Now multiply 3 as many times you did to find the denominator, which is 12 times. 3 x 12 = 36. 
 Multiply 7 as many times you did to find the denominator, which is 7 times. 7 x 7 = 49. 
 So: 36/84 49/84 
 Obviously, 49/84 is larger.

HannahN · Answer

3/7=36/84 7/12=49/84 
 So 7/12 is greater.

TacoGod · Answer

To compare 7 3 ​ and 12 7 ​ , we find they convert to 84 36 ​ and 84 49 ​ respectively. Since 49 is greater than 36, 12 7 ​ is greater than 7 3 ​ . 
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Which is greater: [tex]\frac{3}{7}[/tex] or [tex]\frac{7}{12}[/tex]?

Answer (3)

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