To convert the improper fraction 17/6 into a mixed number, we follow a simple process:
- Divide: First, we need to divide the numerator (17) by the denominator (6). When you perform this division, you will find that 17 ÷ 6 = 2 with a remainder.
- Find the whole number: The integer part of the division gives us the whole number of the mixed number. In this case, 2 is our whole number.
- Calculate the remainder: Next, we calculate the remainder of this division, which is found by multiplying the whole number 2 back by the denominator 6: 2 × 6 = 12. Subtract this from the numerator: 17 – 12 = 5. So, the remainder is 5.
- Form the fractional part: The remainder becomes the new numerator of the fractional part, while the denominator remains the same. Thus, we write the fractional part as 5/6.
Putting it all together, the mixed number representation of 17/6 is 2 5/6.