What is the key process when multiplying mixed numbers?

• A. Convert to entire numbers before multiplying
• B. Convert mixed numbers to improper fractions
• C. Multiply whole numbers separately from the fractions
• D. Divide mixed numbers after converting them

Answer: (B)

When multiplying mixed numbers, the fundamental step is to convert them to improper fractions. A mixed number, which consists of a whole number and a fraction, can complicate the multiplication process if left in its mixed form. By converting mixed numbers into improper fractions, the multiplication becomes straightforward since you can then multiply the numerators together and the denominators together.

For example, if you have the mixed number 2 1/2, it converts to an improper fraction as follows: multiply the whole number (2) by the denominator (2) and add the numerator (1), giving you 5/2. This method ensures that everything is in a consistent format that can be easily manipulated mathematically.

Once the mixed numbers are converted, you can then perform the multiplication without any ambiguity or additional steps that could introduce error. This makes option B the best choice for successfully multiplying mixed numbers.