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What are equivalent fractions for 2/7?

Answer 1

Riley Anderson

Any of the following:

#4/14#, #6/21#, ... , #285714/999999#

To construct an equivalent fraction, just multiply both the numerator and denominator by the same number.

For example:

#(2*2)/(2*7) = 4/14#

#(3*2)/(3*7) = 6/21#

#(142857*2)/(142857*7) = 285714/999999#

The last example is interesting in that it tells you the repeating decimal representation of #2/7#:

#2/7 = 0.285714285714285714...#

A shorthand way of representing a repeating decimal expansion like this is:

#2/7 = 0.bar(285714)#

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Answer 2

Emery Allen

Equivalent fractions for 2/7 include 4/14, 6/21, 8/28, and so on, where the numerator and denominator are multiplied or divided by the same non-zero integer.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.