SOLUTION: Which of the following is not a fractional representation for 2/7 ? A)4/14 B)4/21 C)6/21 D)8/28

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Question 72507: Which of the following is not a fractional representation for 2/7 ?
A)4/14
B)4/21
C)6/21
D)8/28
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Check for each:
A)4%2F14=%282%2A2%29%2F%287%2A2%29=%282%2Across%282%29%29%2F%287%2Across%282%29%29=2%2F7Factor both numerator and denominator, you'll see that they're equivalent.
B)4%2F21=%282%2A2%29%2F%287%2A3%29=%282%2A2%29%2F%287%2A3%29=4%2F21You can see that no terms cancel, so its not equivalent to 2/7.
C)6%2F21=%282%2A3%29%2F%287%2A3%29=%282%2Across%283%29%29%2F%287%2Across%283%29%29=2%2F7The 3's cancel making them equal
D)8%2F28=%282%2A4%29%2F%287%2A4%29=%282%2Across%284%29%29%2F%287%2Across%284%29%29=2%2F7This one is equivalent as well
So the only one that's not equivalent is B)