miajaynnezeringo
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  • 02-03-2020
  • Mathematics
contestada

5/6,3/8 The LCD is 2 24 48

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iwillanswer iwillanswer
  • 10-03-2020

The least common denominator is 24

Solution:

Given that,

[tex]\frac{5}{6} , \frac{3}{8}[/tex]

We have to find the least common denominator

The denominators are 6, 8

List all prime factors for each number.

Prime Factorization of 6 is:

2 x 3  

Prime Factorization of 8 is:

2 x 2 x 2

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

2, 2, 2, 3

Multiply these factors together to find the LCM

LCM = 2 x 2 x 2 x 3 = 24

Thus the least common denominator is 24

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