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?

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 Link

JeanaShupp JeanaShupp · Answer 2 · 2019-10-01T06:30:20+02:00

Answer: [tex]5\dfrac{1}{8}[/tex] inches

Step-by-step explanation:

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

First convert mixed fraction into improper fractions :

[tex]2\dfrac{3}{4}=\dfrac{4\times2+3}{4}=\dfrac{11}{4}[/tex]

[tex]1\dfrac{1}{2}=\dfrac{3}{2}[/tex]

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

[tex]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}[/tex]

Hence, the length of the part = [tex]5\dfrac{1}{8}[/tex] inches