Solved on Dec 11, 2023

Find the difference between 4 ft 39 in and 1 ft 46 in in standard form.

STEP 1

Assumptions
1. 1 foot (ft) is equivalent to 12 inches (in).
2. We need to perform the subtraction in a way that keeps the units consistent.
3. The answer should be in standard form, which means expressing the result in feet and inches, with inches being less than 12.

STEP 2

First, we need to ensure that the number of inches in the subtrahend (the number being subtracted) is not greater than the number of inches in the minuend (the number from which we are subtracting). If it is, we need to convert some feet into inches in the minuend.

STEP 3

Since 46 inches is greater than 39 inches, we need to convert 1 foot from the 4 feet into inches and add it to the 39 inches in the minuend.
1 ft=12 in 1 \text{ ft} = 12 \text{ in}

STEP 4

Convert 1 foot into inches.
1 ft=12 in 1 \text{ ft} = 12 \text{ in}

STEP 5

Add the converted inches to the 39 inches in the minuend.
39 in+12 in=51 in 39 \text{ in} + 12 \text{ in} = 51 \text{ in}

STEP 6

Now we have a new minuend:
3 ft51 in 3 \text{ ft} 51 \text{ in}

STEP 7

Subtract the inches.
51 in46 in=5 in 51 \text{ in} - 46 \text{ in} = 5 \text{ in}

STEP 8

Subtract the feet.
3 ft1 ft=2 ft 3 \text{ ft} - 1 \text{ ft} = 2 \text{ ft}

STEP 9

Combine the results to express the answer in standard form.
The difference is 2 ft5 in2 \text{ ft} 5 \text{ in}.

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