Question

What is the least common denominator for the fractions 1/3 and 2/9 ?

Answer 1

The LCD of 1/3 and 2/9....ur basically looking for the lowest number that both 3 and 9 go into evenly...and that number is 9

Answer 2

The least common denominator of $\frac{1}{3}$ and $\frac{2}{9}$ is 9.

What is least common denominator?

The lowest common denominator or least common denominator (LCD) is the lowest common multiple of the denominators of a set of fractions.

What is prime factorization?

Prime factorization is a way of expressing a number as a product of its prime factors.

According to the given question.

We have

Two fractions $\frac{1}{3}$ and $\frac{2}{9}$.

Now, the prime factorization of each denominator is given by

$3 = 3\times 1$$=3^{1}$

$9 = 3\times 3$ $=3^{2}$

The only prime which appear is 3. And the greatest power of 3 is $3^{2}$.So,  the product of the greatest powers of each prime that occurs

$3^{2} = 3\times 3 = 9$

Therefore, the least common denominator of $\frac{1}{3}$ and $\frac{2}{9}$ is 9.

Find out more information about least common denominator and prime factorization here:

https://brainly.com/question/8393834

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