Question

the overall length of a machine part consist of three pieces joined together. these pieces measure 2 3/4 in., 1 1/2 in. and 7/8 in. What is the length of the part?

Answer 1

You just add them together. First, you give them all the same denominator. So 2 3/4 goes to 2 6/8 and 1 1/2 goes to 1 4/8. 1 4/8 + 2 6/8 + 7/8 = 3 17/8. 3 17/8 simplified = 5 1/8. So 5 1/8 inches

Answer 2

Answer:
`5(1)/(8)` inches

Explanation:

Given : The overall length of a machine part consist of three pieces joined together. these pieces measure
`2(3)/(4)` in. ,
`1(1)/(2)` in. and
`(7)/(8)` in.

First convert mixed fraction into improper fractions :

`2(3)/(4)=(4*2+3)/(4)=(11)/(4)`

`1(1)/(2)=(3)/(2)`

Now, the length of the part is given by :-

`2(3)/(4)+1(1)/(2)+(7)/(8)\\\\=(11)/(4)+(3)/(2)+(7)/(8)\\\\=(11(2)+3(4)+7)/(8)\\\\=(41)/(8)\\\\=5(1)/(8)`

Hence, the length of the part =
`5(1)/(8)` inches