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QuestionMathematics

How many feet are in 84 inches? \frac{1 \mathrm{ft}}{12 \mathrm{in}}=\frac{?}{84 \mathrm{in}}
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Answer

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Step 1:
I'll solve this problem step by step, following the specified LaTeX formatting guidelines:

Step 2:
: Identify the Conversion Ratio

The given conversion ratio is $$\frac{1 \mathrm{ft}}{12 \mathrm{in}}$$, which means 1 foot equals 12 inches.

Step 3:
: Set Up the Proportion

\frac{1 \mathrm{ft}}{12 \mathrm{in}} = \frac{x \mathrm{ft}}{84 \mathrm{in}}
We want to convert 84 inches to feet, so we'll set up the following proportion:

Step 4:
: Cross Multiply

1 \cdot 84 = 12x
84 = 12x

Step 5:
: Solve for x

x = \frac{84}{12}
x = 7

Final Answer

84 inches = 7 feet