Final answer:
To find the result of dividing 6 and 3/5 by 3, convert the mixed number to an improper fraction (33/5), multiply by the reciprocal of 3 (1/3), and simplify the result to get 2 and 1/5.
Step-by-step explanation:
The student has asked to find the result of dividing 6 and 3/5 by 3. To calculate this, you will want to divide the mixed number by the integer.
First, convert 6 and 3/5 to an improper fraction. Since 5 times 6 is 30, and adding the numerator 3 gives us 33, the improper fraction is 33/5. Divide 33/5 by 3, which is the same as multiplying by the reciprocal of 3 (which is 1/3).
Now perform the multiplication:
33/5 × 1/3 = 33/5 × 1/3 = 33/15
Finally, simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which in this case is 3, yielding: 11/5 or 2 and 1/5.