A proper fraction can represent a comparison between a part (the numerator) and the whole (the denominator).
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The best way to think about equivalent fractions is that they are fractions that have the same overall value. Equivalent fractions represent the same part of a whole. For example, if we cut a pie exactly down the middle, into two equally sized pieces, one piece is the same as one half of the pie. And if another pie (the same size) is cut into 4 equal pieces, then two pieces of that pie represent the same amount of pie that 1/2 did. So we can say that 1/2 is equivalent (or equal) to 2/4.
Equivalent fractions are fractions that are equal. So, 1/2 and 2/4 are equivalent.
Equal fractions or equivalent fractions are fractions which are ultimately the same but look different (they don't have to look different 1/3 is equal to 1/3) so: 2/3 = 6/9 = 10/15 = 2000000/3000000 1/2 = 2/4 = 16/32 4/5 = 16/20 You get the picture
The term fraction means a part of the whole. So one half (1/2) is a fraction. The decimal 0.5 means a half and is also a fraction.
A decimal is one way of representing numbers which may be whole or fractions. So, a mixed number which by definition is a number, can be expressed as a decimal. That explains it all!