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$4$ . Mary ran $2.5$ miles. What fraction of a mile did she run if $1$ mile is equivalent to $1.6$ kilometers?

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Convert between customary and metric systems

Full solution

Q.

4

. Mary ran

2.5

miles. What fraction of a mile did she run if

1

mile is equivalent to

1.6

kilometers?

Understand Conversion Rate: Understand the relationship between miles and kilometers. $\newline$ $1$ mile is equivalent to $1.6$ kilometers. We need to find out how many fractions of a mile Mary ran, given that she ran $2.5$ miles. Since we are asked for a fraction of a mile, we do not need to convert miles to kilometers.
Express Distance as Fraction: Express Mary's run in terms of a fraction of a mile. $\newline$ Mary ran $2.5$ miles. To express this as a fraction, we can write it as $2 \frac{1}{2}$ miles or as the improper fraction $\frac{5}{2}$ miles.
Simplify Fraction: Simplify the fraction, if necessary. $\newline$ The fraction $\frac{5}{2}$ is already in its simplest form, so no further simplification is needed.
Write Final Answer: Write the final answer. $\newline$ Mary ran $\frac{5}{2}$ miles, which is the fraction of a mile that she ran.

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