ParaPro Assesment Practice Exam

How is a mixed number converted into an improper fraction?

1. Add the whole number to the denominator

2. Multiply the whole number by the denominator and then add the numerator

3. Divide the whole number by the numerator

4. Multiply the numerator by the whole number

The correct answer is: Multiply the whole number by the denominator and then add the numerator

A mixed number consists of a whole number and a fraction, such as 2 3/4, which indicates 2 whole units and 3 out of 4 of another unit. To convert this mixed number into an improper fraction, the goal is to express the entire quantity as a single fraction. The process involves multiplying the whole number by the denominator of the fractional part. In our example, the whole number is 2, and the denominator of the fraction part is 4. So, you multiply 2 (the whole number) by 4 (the denominator), resulting in 8. After that, you add the numerator (which is 3) to this product. This gives you 8 + 3 = 11, meaning that the improper fraction becomes 11/4. This method is universally applicable for any mixed number: the whole number is multiplied by the denominator to establish the total number of parts represented by the whole, and then the numerator is added to count the additional parts beyond the wholes. Thus, the correct procedure clearly shows that option B accurately describes how to perform the conversion.