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

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.

Answer 2

Answer: B. $\frac{3\times2\times2}{7\times2\times2}$

Step-by-step explanation:

Given fraction : $\frac{12}{28}$

Here, numerator$=12=2\times2\times3$

denominator=$=28=2\times2\times7$

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

$\frac{12}{28}=\frac{3\times2\times2}{7\times2\timers2\times2}$

The simplest form of the fraction $\frac{12}{28}=\frac{3}{7}$