Assessment and Learning in Knowledge Spaces (ALEKS) Basic Math Placement Practice Test

What is the first step in working with mixed numbers during multiplication or division?

1. Convert them into whole numbers

2. Change them into proper fractions

3. Multiply the wholes first

4. Add the whole number and fraction together

The correct answer is: Change them into proper fractions

When working with mixed numbers in multiplication or division, the first step involves changing them into proper fractions. Mixed numbers consist of a whole number and a fractional part, and to perform operations such as multiplication or division effectively, it's essential to convert them into a single fraction format. Converting a mixed number into a proper fraction involves multiplying the whole number by the denominator of the fractional part and then adding the numerator. This results in a proper fraction with the same denominator as the original fraction. For example, the mixed number 2 1/3 can be converted as follows: 1. Multiply the whole number (2) by the denominator (3) to get 6. 2. Add the numerator (1) to get 6 + 1 = 7. 3. The mixed number 2 1/3 converts into the proper fraction 7/3. Once in fraction form, standard multiplication or division rules can be applied. This foundational step simplifies calculations and ensures accuracy in the final results.