6.4: Linear Unit Conversions

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Page ID: 51015

Amy Lagusker
College of the Canyons

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Example \(\PageIndex{1}\)

Convert 2 miles into ______ feet.

Solution

Since 1 mile = 5280 feet. Therefore 2 miles = 2(5280 feet) = 10560 feet

Example \(\PageIndex{2}\)

Convert 15 yards into ______ miles.

Solution

Since 1 mile = 5280 feet and 3 feet = 1 yard. Follow the math below:

\[\begin{aligned}
\dfrac{15 \text { yards }}{1} \times \dfrac{3 \text { feet }}{1 \text { yard }} \times \dfrac{1 \text { mile }}{5280 \text { feet }}&= \dfrac{15 \text { yards }}{1} \times \dfrac{3 \text { feet }}{1 \text { yard }} \times \dfrac{1 \text { mile }}{5280 \text { feet }} \\
&= \dfrac{45}{5280} \text { miles }
\end{aligned} \nonumber \]

Partner Activity 1

Convert 20 inches into ________ yards.
Convert 16 miles into _____ feet.

Practice Problems

Convert 42 feet into ____ miles.
Convert 81 inches into _____ yards.
Convert 34 miles into _____ yards.
Convert 91 yards into _____ inches.

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