To convert the improper fraction 13/8 into a mixed number, we start by dividing the numerator (13) by the denominator (8).
When we divide 13 by 8, we find that 8 goes into 13 once, which gives us a whole number of 1. Next, we calculate the remainder of this division, which is 13 – (8 × 1) = 5.
Now we can express the mixed number. The whole number part is 1, and the remainder becomes the numerator of the fractional part, while the denominator remains the same. Therefore, 13/8 can be written as:
1 5/8
Thus, the improper fraction 13/8 as a mixed number is 1 5/8.