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Jim's stride measures $2\frac{1}{2}$ feet, and Jeffrey's stride measures $2\frac{2}{3}$ feet. There are 5280 feet in a mile. If Jim and Jeffrey each walk one mile, what is the ratio of the number of strides Jim takes to the number of strides Jeffrey takes? Express your answer as a common fraction.

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Answer:

[tex]\frac{16}{15}[/tex]

Step-by-step explanation:

The number of stride Jim takes to walk a mile is  [tex]\frac{5280}{2\frac{1}{2}}=2112[/tex] strides

The number of strides Jeffrey takes to walk a mile is  [tex]\frac{5280}{2\frac{2}{3}}=1980[/tex] strides

Hence, ratio of number of strides of Jim to number of strides of Jeffrey is:

[tex]\frac{2112}{1980}=1\frac{1}{15}[/tex]

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