Accuplacer Practice Test

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What is the equivalent mixed number for the fraction 114/175?

9 11/21
1 47/63
8 4/15
3/77

The correct answer is: 9 11/21

To convert the improper fraction 114/175 into a mixed number, you start by determining how many whole times the denominator (175) fits into the numerator (114). Since 114 is less than 175, it does not fit even once, indicating that the whole number part of the mixed number is 0. Therefore, we actually need to look for a correct approach to analyze the options given. Next, you can simplify 114/175 by considering the greatest common divisor of the numerator and the denominator. In this case, the fraction does not reduce since 114 and 175 share no common factors other than 1. However, there could be some confusion regarding the whole number in mixed number choices. Rounding to get a reasonable estimate could be misleading, so we need to view each mixed number option closely. The essential part here is to ensure that in mixed number format, the fraction part (the part after the whole number) matches up and accounts for the proper equivalency of the original improper fraction when calculated. In this scenario, provided choice A presents a scenario where, if you take the fraction part (11/21) and convert this back to an improper fraction, you can validate its equivalency against the original fraction.