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Why does a fraction represent division?  For example, 2/5 indicates dividing 2 by 5.

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Fractions have many different meanings.
Ratios can also be written as a fraction where the number in the numerator is how many of one thing there is for the number in the denominator, for example 3/5 could be for every 3 girls there are 5 boys.
Writing 3/5 and saying 3 divided by 5 is just another interpretation of the line between the numbers, in other words it is a symbol used for that purpose.
You always have such thought provoking questions!

Professor Wallin

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