High School

Ben built a railing that is [tex]10 \frac{3}{4}[/tex] ft long. He added an additional [tex]2 \frac{1}{8}[/tex] ft of railing. How many total feet of railing did Ben build?

Answer :

Ben built a total of 13(5)/(8) ft of railing.

To find the total length of the railing, we need to add the initial length of 10(3)/(4) ft and the additional length of 2(1)/(8) ft.

Starting with the initial length, 10(3)/(4) ft can be converted to an improper fraction as (40+3)/(4) ft, which simplifies to 43/4 ft.

Similarly, the additional length of 2(1)/(8) ft can be converted to an improper fraction as (16+1)/(8) ft, which simplifies to 17/8 ft.

Now, to find the total length, we add the two fractions together:

[tex]43/4 ft + 17/8 ft = (43*2 + 17)/8 ft = 103/8 ft.[/tex]

To convert the fraction to a mixed number, we divide the numerator (103) by the denominator (8) and get a quotient of 12 with a remainder of 7. So the total length of the railing is 12(7)/(8) ft, which can also be written as 13(5)/(8) ft.

In conclusion, Ben built a total of 13(5)/(8) ft of railing.

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