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A two-person relay race consists of eight times around a football field. Juan runs four and one-sixth times and Antonio runs three and two-thirds times around the field. What are the distances they ran as improper fractions? A. Juan: 25⁄6 ; Antonio: 11⁄3 B. Juan: 32⁄3 ; Antonio: 41⁄6 C. Juan: 41⁄6 ; Antonio: 32⁄3 D. Juan: 11⁄3 ; Antonio: 25⁄6

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Answer:

A


Step-by-step explanation:


To convert mixed number as improper fractions, use this rule:

[tex]A\frac{B}C}=\frac{(A*C)+B}{C}[/tex]


For Juan:  ([tex]4\frac{1}{6}[/tex])

[tex]4\frac{1}{6}=\frac{(4*6)+1}{6}=\frac{25}{6}[/tex]


For Antonio:  ([tex]3\frac{2}{3}[/tex])

[tex]3\frac{2}{3}=\frac{(3*3)+2}{3}=\frac{11}{3}[/tex]


Answer choice A is correct.


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