To convert the improper fraction 66/35 into a mixed number, we first need to divide the numerator (66) by the denominator (35).
1. **Perform the Division:** Divide 66 by 35. The result is 1 with a remainder. Specifically, 35 goes into 66 one time (1) because 35 times 1 equals 35.
2. **Calculate the Remainder:** To find the remainder, subtract the product from the original numerator: 66 – 35 = 31. So, we have a whole number of 1 and a remainder of 31.
3. **Combine the Results:** The mixed number consists of the whole number and the remaining fraction formed by the remainder and the original denominator. Thus, we write it as:
1 31/35
So, 66/35 as a mixed number is 1 31/35.