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
Answer:
C. \(\frac{3\times 3\times 3}{3\times 3\times 3\times 2}\)
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,
\(\frac{27}{54}\)
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,
\(\implies \frac{27}{54}=\frac{3\times 3\times 3}{3\times 3\times 3\times 2}\)
Option C is correct.