To express the fraction 11/7 as a mixed number, we start by dividing the numerator (11) by the denominator (7).
First, divide 11 by 7. This gives us:
11 ÷ 7 = 1
This tells us that 7 fits into 11 one time. We then multiply:
1 × 7 = 7
Next, we subtract this result (7) from the original numerator (11):
11 – 7 = 4
Now, we have a whole number part (1) and a remainder (4). The remainder (4) is placed over the original denominator (7) to complete the mixed number. Thus, we write:
1 4/7
So, 11/7 as a mixed number is 1 4/7.