Final answer:
The mixed number equivalent to two and four-sixths is two and two-thirds, after simplifying the fraction four-sixths by dividing both numerator and denominator by 2, their greatest common factor.
Step-by-step explanation:
The student is asking to identify the mixed number that is equivalent to two and four-sixths. First, we notice that the fraction part of the mixed number, four-sixths, can be simplified. This is because 4 and 6 have a common factor of 2.
To simplify the fraction, we divide both the numerator (4) and the denominator (6) by their greatest common factor (2):
4 ÷ 2 = 2
6 ÷ 2 = 3
Now, the fraction is simplified to two-thirds. Therefore, the mixed number two and four-sixths simplifies to two and two-thirds.