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Which of the following shows 27⁄54 written in prime factored form to help in reducing the fraction to simplest form? A. 1⁄2 B. 9×3 ⁄9×6 C. 3×3×3⁄3×3×3×2 D. 27×1 ⁄27×2

Respuesta :

just took the test.
 C is your answer
hope this helped :)

Answer:

C. [tex]\frac{3\times 3\times 3}{3\times 3\times 3\times 2}[/tex]

Step-by-step explanation:

In prime factored form, we write a number as a product of prime numbers that, when multiplied together, give you that number.

Also, prime number is a number which is only divisible by 1 and itself.

Here, the given number is,

[tex]\frac{27}{54}[/tex]

Since, 27 = 3 × 3 × 3

Where, 3 is a prim number,

And, 54 = 3 × 3 × 3 × 2

Where, both 3 and 2 are prime numbers,

[tex]\implies \frac{27}{54}=\frac{3\times 3\times 3}{3\times 3\times 3\times 2}[/tex]

Option C is correct.