Question

Which of the following shows 12∕28 written in prime factored form to help in reducing the fraction to simplest form? A. 7×2×2∕3×2×2 B. 3×2×2∕7×2×2 C. 3∕7 D. 6×2 ∕7×4

Answer 1

Answer: B.
`(3*2*2)/(7*2*2)`

Explanation:

Given fraction :
`(12)/(28)`

Here, numerator
`=12=2*2*3`

denominator=
`=28=2*2*7`

Therefore, the prime factorization form of the given fraction to get the simplest from is

`(12)/(28)=(3*2*2)/(7*2\timers2*2)`

The simplest form of the fraction
`(12)/(28)=(3)/(7)`

Answer 2

Writing the numerator and denominator in prime factor form we get: 12 = 2*2*3. 28 = 2*2*7. So 12/28 = 2*2*3 / 2*2*7. So the correct answer is B.3*2*2 / 7*2*2.