To convert the improper fraction 17/7 into a mixed number, we start by dividing the numerator (17) by the denominator (7).
When we perform the division, we find:
- 17 divided by 7 equals 2 with a remainder.
The whole number part of the mixed number is the quotient, which is 2.
Next, we need to find the remainder. Multiplying the whole number (2) by the denominator (7) gives us:
- 2 × 7 = 14
Now, we subtract this from the original numerator:
- 17 – 14 = 3
This remainder (3) becomes the numerator of the fractional part, and we keep the same denominator (7). Therefore, we can express 17/7 as the mixed number:
2 3/7.
So, 17/7 as a mixed number is 2 3/7.