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Question Convert 2232 \frac{2}{3} feet to inches using 1ft=121 \mathrm{ft} = 12 inches.

Studdy Solution

STEP 1

Assumptions
1. 2232 \frac{2}{3} feet is the length to be converted to inches.
2. 1foot=121 \mathrm{foot} = 12 inches is the conversion factor from feet to inches.

STEP 2

First, we need to express the mixed number 2232 \frac{2}{3} as an improper fraction to make the multiplication easier.
223=3×2+232 \frac{2}{3} = \frac{3 \times 2 + 2}{3}

STEP 3

Now, perform the multiplication in the numerator.
223=6+232 \frac{2}{3} = \frac{6 + 2}{3}

STEP 4

Add the numbers in the numerator to get the improper fraction.
223=832 \frac{2}{3} = \frac{8}{3}

STEP 5

Now we will multiply the improper fraction by the conversion factor to convert feet to inches.
223ft=83×12in2 \frac{2}{3} \mathrm{ft} = \frac{8}{3} \times 12 \mathrm{in}

STEP 6

Multiply the numerator of the fraction by the conversion factor.
223ft=8×123in2 \frac{2}{3} \mathrm{ft} = \frac{8 \times 12}{3} \mathrm{in}

STEP 7

Perform the multiplication in the numerator.
223ft=963in2 \frac{2}{3} \mathrm{ft} = \frac{96}{3} \mathrm{in}

STEP 8

Now, divide the numerator by the denominator to simplify the fraction.
223ft=963in=32in2 \frac{2}{3} \mathrm{ft} = \frac{96}{3} \mathrm{in} = 32 \mathrm{in}
2232 \frac{2}{3} feet is equal to 3232 inches.

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