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Answer :
Final answer:
The fraction of the number of cakes to the number of pies is 3/8, which is calculated by reversing and dividing the numbers in the given ratio of pies to cakes (8:3).
Explanation:
The student asked for the fraction of the number of cakes to the number of pies when the ratio given was 8 pies to 3 cakes. To find this, we simply reverse the numbers in the given ratio to find the ratio of cakes to pies, which is 3 to 8. However, to express this ratio as a fraction, we divide the number of cakes by the number of pies, which is 3 divided by 8.
Therefore, the fraction of the number of cakes to the number of pies is 3/8.
Understanding fractions can sometimes be puzzling, but by visualizing or relating them to everyday experiences, like the parts of a pie or the coins in a dollar, they often become clearer. Dividing by a whole number can be thought of as multiplying by its reciprocal, or flipping the fraction upside-down. For instance, dividing by 8 is the same as multipling by 1/8.
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