Convert the following mixed number to an improper fraction: 12 3/4

12 times 4 = 48 + 3 = 51/4

To convert the mixed number 12 3/4 to an improper fraction, follow these steps:

Step 1: Multiply the whole number (12) by the denominator (4):

12 x 4 = 48

Step 2: Add the numerator (3) to the result from step 1:

48 + 3 = 51

Step 3: Write the sum from step 2 as the numerator, and keep the denominator the same:

51/4

So, the mixed number 12 3/4 is equal to the improper fraction 51/4.

To convert a mixed number to an improper fraction, you need to follow these steps:

1. Multiply the whole number by the denominator of the fraction.
2. Add the result to the numerator of the fraction.
3. Place the sum obtained in step 2 as the new numerator of the fraction.
4. Keep the same denominator.

Let's apply these steps to the mixed number 12 3/4:

1. Multiply the whole number (12) by the denominator of the fraction (4): 12 x 4 = 48.
2. Add the result to the numerator of the fraction (3): 48 + 3 = 51.
3. Place the sum obtained in step 2 (51) as the new numerator of the fraction.
4. Keep the same denominator (4).

Therefore, 12 3/4 as an improper fraction is 51/4.