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priya ran 121 1/2 miles today, and tyler ran 3343 3/4 miles .how many times the length of priyas run was tyler run?

Sagot :

To determine how many times the length of Priyas run was the Tyler run we first need to convert the numbers from mixed fractions to improper fractions. To do that we have to add the integer part to the fraction part.

[tex]\begin{gathered} \text{ Priya=}121+\frac{1}{2}=\frac{121\cdot2+1}{2}=\frac{243}{2} \\ \text{ Tyler=}3343+\frac{3}{4}=\frac{3343\cdot4+3}{4}=\frac{13375}{4} \end{gathered}[/tex]

We then need to divide the Tyler fraction by the Priya one.

[tex]\text{ratio}=\frac{\text{ Tyler}}{\text{ Pryia}}=\frac{\frac{13375}{4}}{\frac{243}{2}}=\frac{13375}{4}\cdot\frac{2}{243}=\frac{13375}{486}=27\frac{253}{486}=27.52[/tex]

Tyler's run was 27.52 times the length of Priya's run.

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