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What is the least common denominator (LCD) of [tex]\frac{16}{25}[/tex], [tex]\frac{24}{30}[/tex], and [tex]\frac{3}{4}[/tex]?

Answer :

Answer:

2900

Step-by-step explanation:

16/25+24/30+3/4

=25*30*4=2900

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Rewritten by : Barada

Answer for LCD is 300

Explanation - looking for LCD (lowest common denominator).
300 is the lowest number divisible by:
25 x 12
30 x 10
4 x 75

Using Prime factorization
25 = 5 x 5
30 = 3 x 2 x 5
4 = 2 x 2

Multiply these factors together
5 x 5 x 3 x 2 x 2 = 300

300 is your LCD