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AlladinOne [14]
3 years ago
11

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?
Mathematics
2 answers:
almond37 [142]3 years ago
8 0
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
Ganezh [65]3 years ago
4 0

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

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