What are equivalent fractions for 2/7?
1 Answer
Mar 28, 2016
Any of the following:
#4/14# ,#6/21# , ... ,#285714/999999#
Explanation:
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 = 0.285714285714285714...#
A shorthand way of representing a repeating decimal expansion like this is:
#2/7 = 0.bar(285714)#
