Name: D. F.
Level of question: elementary Question: What is the mathematical reason equivalent fractions are equal? Hi,Equivalent fractions are "equal" because they represent the same quantity. For example suppose that you take a line segment and divide it into four equal parts then the length of three of these parts is threequarters of the length of the line segment. If, however, you divide the line segment into eight equal parts then the length of six of these parts is sixeights of the length of the line segment. But these two division points are at exactly the same place so the lengths are equal. Thus 3/4 the length of the line segment has a length equal to 6/8 of the length of the line segment. Hence we say that 3/4 and 6/8 are equal. This is a definition or explaination of what the word equal means when applied to fractions. Two fractions are equal if they represent the same proportion of the whole. 3/4 = 6/8 since threequarters of a whole is exacly the same quantity as 6/8 of a whole. Cheers,Penny
