Final answer:
The fraction 52/12 x 10/11 simplifies to the mixed number 3 31/33 instead of 6 1/6. The calculation involves simplifying the fractions, multiplying them, and then converting the improper fraction to a mixed number.
Step-by-step explanation:
The question involves simplifying a fraction and converting it to a mixed number. To simplify the fraction 52/12 × 10/11, we start by simplifying each fraction separately if possible. The fraction 52/12 can be simplified by dividing both numerator and denominator by 4, resulting in 13/3. For the multiplication, we can multiply the numerators together (13 × 10 = 130) and the denominators together (3 × 11 = 33), to get 130/33. To convert this improper fraction to a mixed number, we divide the numerator by the denominator.
Division of 130 by 33 gives us 3 as a quotient and 31 as the remainder. Therefore, our mixed number will be 3 31/33. This is different from the 6 1/6 given in the question, which suggests a potential misunderstanding in the student's initial calculation. It is crucial to reassess each step in the calculation process to ensure accuracy.
It seems there might have been a typo in the student's answer, as the original question, and intended solution likely involved different numbers. One should always check the arithmetic for potential errors when dealing with fractions.