To convert the mixed number 6 3/4 into an improper fraction, we start by understanding that the whole number part (6) can be expressed as a fraction with the same denominator as the fractional part (3/4).
First, we convert the whole number 6 into a fraction:
- 6 can be written as 6/1.
- To have the same denominator as 3/4, we can convert 6/1 to a fraction with a denominator of 4:
- 6 fractions of 1 can be rewritten as 6 × 4/4 = 24/4.
Next, add the fractional part (3/4) to this result:
- 24/4 + 3/4 = (24 + 3)/4 = 27/4.
Therefore, the improper fraction form of 6 3/4 is 27/4.