Final answer:
To find the equivalent improper fraction for 3 2/4, multiply the whole number by the denominator (3*4=12) and add the numerator (12+2=14), resulting in 14/4. Therefore, option C is correct.
Step-by-step explanation:
When converting a mixed number to an improper fraction, we multiply the whole number by the denominator of the fraction and then add the numerator of the fraction. The question we are addressing is which is equivalent to 3 2/4? To convert 3 2/4 to an improper fraction, we do the following:
- Multiply the whole number (3) by the denominator of the fraction (4), which gives us 3*4 = 12.
- Add the numerator of the fraction (2) to this result, giving us 12 + 2 = 14.
- The resulting fraction is 14/4.
Therefore, the equivalent improper fraction for 3 2/4 is 14/4, which makes option C the correct answer.