use the unit fractions $\frac{5280 \text{ ft}}{1 \text{ mi}}$, $\frac{12 \text{ in.}}{1 \text{ ft}}$ and…

use the unit fractions $\frac{5280 \text{ ft}}{1 \text{ mi}}$, $\frac{12 \text{ in.}}{1 \text{ ft}}$ and $\frac{2.54 \text{ cm}}{1 \text{ in.}}$. convert 25 mi to km. 25 mi = $square$ km (type an integer or decimal rounded to five decimal places as needed.)

use the unit fractions $\frac{5280 \text{ ft}}{1 \text{ mi}}$, $\frac{12 \text{ in.}}{1 \text{ ft}}$ and $\frac{2.54 \text{ cm}}{1 \text{ in.}}$. convert 25 mi to km. 25 mi = $square$ km (type an integer or decimal rounded to five decimal places as needed.)

Answer

Explanation:

Step1: Convert miles to feet

$25\ mi\times\frac{5280\ ft}{1\ mi}=25\times5280\ ft = 132000\ ft$

Step2: Convert feet to inches

$132000\ ft\times\frac{12\ in.}{1\ ft}=132000\times12\ in.=1584000\ in.$

Step3: Convert inches to centimeters

$1584000\ in.\times\frac{2.54\ cm}{1\ in.}=1584000\times2.54\ cm = 4023360\ cm$

Step4: Convert centimeters to kilometers

Since $1\ km = 100000\ cm$, then $4023360\ cm\times\frac{1\ km}{100000\ cm}=\frac{4023360}{100000}\ km=40.2336\ km$

Answer:

$40.23360$