Question

Which of the following shows 27/54 written in prime factored form to help in reducing the fraction to simplest form?

A. 9x3/9x6
B. 27x1/27x2
C. 3x3x3/3x3x3x2
D. 1/2

Answer 1

C. 3x3x3/3x3x3x2

27 splits into 3 and 9, the 9 splits into 2 3's. You can't split the threes.
54 splits into 2 and 27, the 27 is the same as above.

Answer 2

Answer: C. 27/54 .

Explanation:

Here, given number, 27/54

Since the prime factor form of 27 =
`3* 3* 3`

And, the prime factor form of 54 =
`3* 3* 3* 2`

putting the prime factor form of both 27 and 54 in the given numbers.

we get,
`(27)/(54) =(3* 3* 3)/(3* 3* 3* 2) = 1/2`

Thus, by putting the prime factor form by C we get the simplest form of the given fraction.

Therefore, Option C is correct.