Solved on Dec 14, 2023

Convert 5/8 ft to inches.

STEP 1

Assumptions
1. The given length is 58\frac{5}{8} feet.
2. We need to convert this length to inches.
3. There are 12 inches in 1 foot.

STEP 2

To convert feet to inches, we multiply the number of feet by the number of inches per foot.
Length in inches=Length in feet×Number of inches per foot\text{Length in inches} = \text{Length in feet} \times \text{Number of inches per foot}

STEP 3

Now, plug in the given values for the length in feet and the number of inches per foot to calculate the length in inches.
Length in inches=58×12\text{Length in inches} = \frac{5}{8} \times 12

STEP 4

Multiply the fraction by the whole number to find the length in inches.
Length in inches=58×12=5×128\text{Length in inches} = \frac{5}{8} \times 12 = \frac{5 \times 12}{8}

STEP 5

Perform the multiplication in the numerator.
Length in inches=5×128=608\text{Length in inches} = \frac{5 \times 12}{8} = \frac{60}{8}

STEP 6

Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 4 in this case.
Length in inches=608=60÷48÷4\text{Length in inches} = \frac{60}{8} = \frac{60 \div 4}{8 \div 4}

STEP 7

Calculate the simplified fraction.
Length in inches=60÷48÷4=152\text{Length in inches} = \frac{60 \div 4}{8 \div 4} = \frac{15}{2}

STEP 8

Convert the improper fraction to a mixed number if necessary. In this case, 152\frac{15}{2} is an improper fraction, and we can express it as a mixed number.
Length in inches=152=712\text{Length in inches} = \frac{15}{2} = 7 \frac{1}{2}

STEP 9

So, 58\frac{5}{8} feet is equal to 7127 \frac{1}{2} inches or 7.5 inches.
The length in inches is 7127 \frac{1}{2} inches or 7.5 inches.

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