Final answer:
The improper fraction equivalent to 4 10/11 is 54/11, but this is not an option given. The closest correct answer in the options is 53/11. There might be a typographical error in the question since none of the provided options correctly correspond to the mixed number given.
Step-by-step explanation:
The improper fraction equivalent to the mixed number 4 10/11 is calculated by converting the whole number to an improper fraction and then adding the fraction part. Here's how we do it step-by-step:
- Multiply the whole number part (4) by the denominator of the fractional part (11): 4 × 11 = 44.
- Add the numerator of the fractional part (10) to this product: 44 + 10 = 54.
- Write this sum as the numerator and keep the original denominator: 54/11.
However, there seems to be a mistake since 54/11 is not listed in the options given and the closest correct option in the choices is 53/11. It's important to double-check calculations to ensure accuracy.