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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

Respuesta :

W0lf93
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.
JeanaShupp

Answer: B. [tex]\frac{3\times2\times2}{7\times2\times2}[/tex]


Step-by-step explanation:

Given fraction : [tex]\frac{12}{28}[/tex]

Here, numerator[tex]=12=2\times2\times3[/tex]

denominator=[tex]=28=2\times2\times7[/tex]

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

[tex]\frac{12}{28}=\frac{3\times2\times2}{7\times2\timers2\times2}[/tex]

The simplest form of the fraction [tex]\frac{12}{28}=\frac{3}{7}[/tex]

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