Explain Why is 2/3 is greater than 4/7?
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Explain Why is 2/3 is greater than 4/7?

[From: ] [author: ] [Date: 17-03-13] [Hit: ]
What we get is 4/6. The denominator of 4/7 is 7 and the denominator of 4/6 is 6. The denominator of 4/6 is less than that of 4/7. so the fraction 4/6 is greater than 4/7 that means 2/3 is greater than 4/7-Amy say: 2/3 = 4/6 4/6 > 4/7-Abbott say: Two thirds is more than one half; four sevenths is less than one half.A number greater than one half is greater than a number less than one half.-Como say: 2/3 = 14/21 4/7 = 12/21 2/3 > 4/7-peevee say: using the common denominator 21,......
Explain Why is 2/3 is greater than 4/7?

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answers:
G.K.K say: Multiply both numerator and denominator of 2/3 by 2. What we get is 4/6.

The denominator of 4/7 is 7 and the denominator of 4/6 is 6.
The denominator of 4/6 is less than that of 4/7.
so the fraction 4/6 is greater than 4/7
that means 2/3 is greater than 4/7
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Amy say: 2/3 = 4/6
4/6 > 4/7
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Abbott say: Two thirds is more than one half; four sevenths is less than one half. A number greater than one half is greater than a number less than one half.
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Como say: 2/3 = 14/21
4/7 = 12/21

2/3 > 4/7
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peevee say: using the common denominator 21,we get the following equivalent fractions:
2/3 = 14/21
4/7 = 12/21.
14 out of 21 is definitely greater than 12 out of 21.
Hence 2/3 is greater than 4/7.
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Jim Moor say: Lots of different ways.

I love the "Butterfly Technique"

2*7 = 14
4 * 3 = 12

so 2/3 is greater!
see pic below.

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Mathematically, multiply each by (1):
2/3 (7/7) = 14/21

4/7 (3/3) = 12/21

so 2/3 is greater.
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MICHAEL K say: 0.667 is greater than 0.571.
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ted s say: 14 / 21 vs 12 / 21
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D.W. say: give the fractions a common denominator
the least common denominator is 21
2/3 = 14/21
4/7 = 12/21
14>12, so 2/3 > 4/7
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Aima Wiiner say: Because the numbers are smaller of course
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BEER GLASS CELL PHONE response say: first you make the denominator the same that is divisable by both 3 and 7 and that is 21(so 3x7=21 so the top number has to be increased by x7 so that is 14/21 -- 7x3= 21 (so the top number is increased by 3 so 4x3=12 or 12/21--------------14/21 vs 12/21 and that is the way all fractions are done.
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Amie say: Oh god maths
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kd say: Check in calculator
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Paul say: To compare fractions just make the denominators the same.
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