How do you convert a mixed number to an improper fraction?

How do you convert a mixed number to an improper fraction?

• A. Add the numerator to the denominator
• B. Multiply the whole number by the denominator, then add the numerator
• C. Divide the numerator by the denominator
• D. Subtract the denominator from the whole number

Answer: (B)

To convert a mixed number to an improper fraction, the correct method involves multiplying the whole number part by the denominator and then adding the numerator. This step ensures that you are accounting for the total number of parts in the mixed number. For example, consider the mixed number 2 3/4. In this mixed number, 2 is the whole number and 3/4 is the fractional part. The process to convert it to an improper fraction starts by multiplying the whole number (2) by the denominator (4), which gives you 8. Then you add the numerator (3) to this product, resulting in 8 + 3 = 11. Lastly, you place this sum over the original denominator (4), leading to the improper fraction 11/4. This method effectively combines the whole part with the fractional part, providing a single fraction that retains the total value represented by the original mixed number.

To convert a mixed number to an improper fraction, the correct method involves multiplying the whole number part by the denominator and then adding the numerator. This step ensures that you are accounting for the total number of parts in the mixed number.

For example, consider the mixed number 2 3/4. In this mixed number, 2 is the whole number and 3/4 is the fractional part. The process to convert it to an improper fraction starts by multiplying the whole number (2) by the denominator (4), which gives you 8. Then you add the numerator (3) to this product, resulting in 8 + 3 = 11. Lastly, you place this sum over the original denominator (4), leading to the improper fraction 11/4.

This method effectively combines the whole part with the fractional part, providing a single fraction that retains the total value represented by the original mixed number.