Answered

Find the best answers to your questions with the help of IDNLearn.com's knowledgeable users. Our community is ready to provide in-depth answers and practical solutions to any questions you may have.

Select the best answer for the question.

Find the least common multiple (LCM) to determine the least common denominator for [tex]\frac{2}{3}, \frac{5}{6}[/tex], and [tex]\frac{9}{4}[/tex].

A. 18
B. 12
C. 60
D. 9

Sagot :

GinnyAnsweridn
To determine the least common multiple (LCM) and thus the least common denominator for the fractions [tex]\( \frac{2}{3}, \frac{5}{6}, \frac{9}{4} \)[/tex], we need to follow these steps:

1. Identify the denominators of the given fractions. The denominators are 3, 6, and 4.

2. Find the LCM of the first two denominators (3 and 6). The LCM of 3 and 6 is 6 because 6 is the smallest number that 3 and 6 both divide evenly into.

3. Now, find the LCM of the result (which is 6) and the third denominator (4). The LCM of 6 and 4 is 12 because 12 is the smallest number that both 6 and 4 divide evenly into.

Thus, the least common multiple (LCM) and the least common denominator for the fractions [tex]\( \frac{2}{3}, \frac{5}{6}, \frac{9}{4} \)[/tex] is 12.

So, the best answer is:
B. 12
Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. IDNLearn.com is committed to your satisfaction. Thank you for visiting, and see you next time for more helpful answers.