To convert the improper fraction 6/5 into a mixed number, we start by dividing the numerator (6) by the denominator (5).
1. **Perform the Division**: When we divide 6 by 5, it goes 1 time (1 x 5 = 5) with a remainder of 1. So we can express it as:
6 ÷ 5 = 1 remainder 1
2. **Write as Mixed Number**: The mixed number is formed by combining the whole number part (which is 1) and the fraction part (the remainder over the original denominator). The remainder here is 1, and the original denominator is 5. Therefore, we write:
1 1/5
So, 6/5 as a mixed number is 1 1/5.