To convert the improper fraction 17/7 into a mixed number, you will follow these steps:
- Divide the numerator by the denominator: Start by dividing the top number (17) by the bottom number (7).
- Perform the division: When you divide 17 by 7, the result is 2 because 7 goes into 17 two times. This gives you a whole number part of 2.
- Calculate the remainder: Next, you need to find out the remainder of this division. You can do this by multiplying the whole number part (2) by the denominator (7), which is 2 x 7 = 14. Then subtract this from the original numerator: 17 – 14 = 3.
- Write the mixed number: Now, you combine the whole number part with the new numerator and the denominator. Since you have a remainder of 3 and the original denominator is 7, your mixed number is 2 3/7.
So, the improper fraction 17/7 can be expressed as the mixed number 2 3/7.