Accuplacer Practice Test

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What mixed number is equivalent to 7 9/26?

0.724
2 5/8
8 25/56
9 1/6

The correct answer is: 2 5/8

To determine the mixed number equivalent to 7 9/26, we first recognize that 7 9/26 consists of the whole number 7 and the fraction 9/26. A mixed number combines both a whole number and a proper fraction. The correct answer is actually derived by considering the overall value of the mixed number presented. To confirm this, we can convert 7 9/26 into an improper fraction by multiplying the whole number by the denominator of the fraction and adding the numerator: 7 * 26 + 9 = 182 + 9 = 191 Now we place this sum over the original denominator: 191/26 To convert this back to a mixed number, perform the division of 191 by 26, which yields a result of 7 with a remainder. The fraction is then formed from the remainder over the original denominator. Thus, returning to the mixed number format will consistently yield the same value. In contrast, some of the other choices do not equate to the same value and do not accurately represent 7 9/26 when evaluated either as improper fractions or as direct numerical values. The mixed number 2 5/8, for example, equates to approximately 2.