Final answer:
To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator. This process allows the transformation of a mixed number into an improper fraction, which can then be used accurately in further mathematical operations. The correct answer is option A.
Step-by-step explanation:
To convert a mixed number to an improper fraction, the process involves the whole number, numerator, and denominator of the mixed number. The correct sequence of steps for this conversion is to multiply the whole number part by the denominator and then add the numerator. This process can be represented by the formula: Improper Fraction = (Whole Number × Denominator) + Numerator. Let's explore this concept using an example.
Consider the mixed number 3 ⅔ (which is 3 and one-half). Here, 3 is the Whole Number, 1 is the Numerator, and 2 is the Denominator. To convert this into an improper fraction, we multiply the whole number by the denominator (3 × 2 = 6), and then add the numerator (6 + 1 = 7). Thus, the improper fraction is 7/2.
When dealing with fractions, it's crucial to remember the role of numerators and denominators. In operations such as multiplying fractions, you multiply the numerators together and the denominators together, simplifying the result when possible. It's also important to note that units of measurement, when present, must be correctly canceled when multiplying or dividing fractions to ensure the proper units in the result.