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The LCD for the fractions [tex]\frac{1}{3}, \frac{3}{4}, \frac{5}{32},[/tex] and [tex]\frac{8}{9}[/tex] is:

A. 3,072
B. 64
C. 288
D. 24

Sagot :

GinnyAnsweridn
To find the Least Common Denominator (LCD) for the fractions [tex]\( \frac{1}{3}, \frac{3}{4}, \frac{5}{32}, \)[/tex] and [tex]\( \frac{8}{9} \)[/tex], we follow these steps:

1. Identify the denominators of the given fractions: [tex]\(3\)[/tex], [tex]\(4\)[/tex], [tex]\(32\)[/tex], and [tex]\(9\)[/tex].
2. Find the Least Common Multiple (LCM) of these denominators. The LCM of a set of numbers is the smallest number that is a multiple of each of the numbers in the set.

The denominators are [tex]\(3\)[/tex], [tex]\(4\)[/tex], [tex]\(32\)[/tex], and [tex]\(9\)[/tex].

Following the proper calculations for LCM, the Least Common Denominator of these fractions is determined to be:

C. 288

Thus, the best answer is [tex]\( \boxed{288} \)[/tex].
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