Using improper/mixed fractions?

Question

there are two pieces of pipe forming an L-joint for a section of piping that connects a water source to a shower head. Pipe 1 is 6'4" and Pipe 2 is 8'1".

How do you express the length of each pipe in feet using mixed fractions, and improper fractions?

Answer 1

12in. = 1 ft.

6ft. 4in.

Divide the inches by 12 to get

6 4/12 ft

Reducing the 4 / 12 to lowest terms gives the mixed fraction:

6 1/3 ft.

Putting the whole number over the denominator 3 gives the improper fraction:

(6 * 3 + 1) / 3

= 19 / 3 ft.

Similarly:

8ft. 1in.

= 8 1/12 ft (mixed fraction)

= (8 * 12 + 1) / 12

= 97 / 12 ft (improper fraction).