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: $5\dfrac{1}{8}$ inches

Step-by-step explanation:

Given : The overall length of a machine part consist of three pieces joined together. these pieces measure $2\dfrac{3}{4}$ in. , $1\dfrac{1}{2}$ in. and $\dfrac{7}{8}$ in.

First convert mixed fraction into improper fractions :

$2\dfrac{3}{4}=\dfrac{4\times2+3}{4}=\dfrac{11}{4}$

$1\dfrac{1}{2}=\dfrac{3}{2}$

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

$2\dfrac{3}{4}+1\dfrac{1}{2}+\dfrac{7}{8}\\\\=\dfrac{11}{4}+\dfrac{3}{2}+\dfrac{7}{8}\\\\=\dfrac{11(2)+3(4)+7}{8}\\\\=\dfrac{41}{8}\\\\=5\dfrac{1}{8}$

Hence, the length of the part = $5\dfrac{1}{8}$ inches