Question

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. 27×1 ⁄27×2
D. 3×3×3⁄3×3×3×2

Answer 1

D= 3×3×3/2×3×3×3

Explanation:

A prime factored form breaks the number into prime numbers that give the same value when multiplied

27= 3×3×3

54=2×3×3×3

To get the simplest form of a fraction you proceed with division.

=3×3×3 / 2×3×3×3.............................cancel 3 in the numerator and denominator

= 1/2

Answer 2

3×3×3⁄3×3×3×2

Explanation:

27 = 3×3×3

54 = 3×3×3×2

The prime factored form of 27⁄54 is thus;

3×3×3⁄3×3×3×2