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Question
what does this division expression mean? how many are in? 1/3 s 1/7 s 3 4
Step1: Recall division concept
Division represents finding how many of one quantity are in another. In the context of the given problem, we are looking at the number of a certain - sized part in a whole.
If we consider a division problem of the form $\frac{a}{b}$, it means how many $b$'s are in $a$.
Here, if we have a division like $\frac{4}{\frac{1}{7}}$, it means how many $\frac{1}{7}$'s are in 4. Similarly, $\frac{3}{\frac{1}{3}}$ means how many $\frac{1}{3}$'s are in 3.
The general form of the division expression "How many [divisor] are in [dividend]" is a basic interpretation of division.
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The division expression "How many $\frac{1}{3}$ are in 3" or "How many $\frac{1}{7}$ are in 4" (two possible interpretations based on the given numbers and the division - meaning concept).