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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

Verified Answer :

W0lf93

Writing the numerator and denominator in prime factor form we get: 12 = 223. 28 = 227. So 12/28 = 223 / 227. So the correct answer is B.322 / 722.

JeanaShupp

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 \(\frac{12}{28}=\frac{3}{7}\)

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