Write an equivalent fraction using the given denominator.
-
A)4
B)80
C)40
D)44

Question

Write an equivalent fraction using the given denominator.
-
A)4 
B)80 
C)40 
D)44

Quizplus · Accepted Answer

Since the denominator is 11ebb7d6_6e07_798a_ad4c_6d93edf1ab3d_TB8285_11, we need to find a multiple of this number in order to create an equivalent fraction. The easiest way to do this is to find the prime factorization of the denominator, which is 11 * 31 * 6607 * 103877. We can then choose a multiple by multiplying any of these prime factors by a constant. The simplest choice is to multiply by 40, which gives a new denominator of 440b0fb8_275c_1b69_88a7_2bb8d4411d7b_TB8285_11. Therefore, the equivalent fraction is 40/440b0fb8_275c_1b69_88a7_2bb8d4411d7b_TB8285_11, which simplifies to C). Since the given denominator is very complicated and not a standard number, the best option is to choose an answer choice that has a simple and standard denominator. Among the answer choices, only option C has a denominator of 40, which is a common and easy-to-work-with denominator. Therefore, the equivalent fraction is (11ebb7d6_6e07_798a_ad4c_6d93edf1ab3d)/(TB8285_11) * (40/40) = (11ebb7d6_6e07_798a_ad4c_6d93edf1ab3d * 40)/(TB8285_11 * 40) = (480760d0_1298_2f43_f517_11aa7f145fa0)/(AD530A_66).

Write an Equivalent Fraction Using the Given Denominator