Answer:
442.5 inches
= 442 1/2 inches
Step-by-step explanation:
To calculate the total length of 12 strips of metal, each measuring 3 feet 6 and seven eighths inches, we need to convert the length of each strip to inches and then multiply it by 12.
First, let’s convert the length of each strip to inches. One foot is equal to 12 inches, so 3 feet is equal to 36 inches.
Adding 7/8 inch to 36 inches will give us the total length of each strip as
[tex]36 \dfrac{7}{8}\:inches[/tex]
Convert this mixed fraction to an improper fraction for further computation:
[tex]36 \;\dfrac{7}{8} = \dfrac{36 \times 8 + 7}{8} = \dfrac{295}{8}[/tex]
Now, we can calculate the total length of 12 strips of metal by multiplying the length of each strip in inches by 12.
[tex]12 \times \dfrac{295}{8} = 3 \times \dfrac{295}{2} = \dfrac{885}{2} = 442.5\;inches\\[/tex]
