Let’s follow along with an example. Let’s say that we need to turn the fraction 7/5 into a mixed number. We’ll start by dividing 7 by 5, like this: 7/5 → 7 ÷ 5 = 1 R2
In our example, since our answer is 1 R2, we would leave off the remainder and just write 1.
In our example, our remainder is 2. Putting this over our original denominator (5), we get 2/5. We put this next to our whole number answer (1) to get our final mixed number, like this: 1 2/5.
If we wanted to convert our example answer (1 2/5) back to an improper fraction, we would do it like this:[5] X Research source 1 × 5 = 5 → (2 + 5)/5 = 7/5
11/4 — to start, we need to divide the numerator by the denominator. 11 ÷ 4 = 2 R 3 — now, we need to make a fraction from the remainder and our original denominator. 11/4 = 2 3/4
99/5 — how many times does 5 go into 99? Since 5 goes into 100 exactly 20 times, it’s safe to say that 5 goes into 99 19 times. 99 ÷ 5 = 19 R 4 — now, we just put the mixed number together like before. 99/5 = 19 4/5
6/6 — six goes into six one time with no remainder, obviously. 6 ÷ 6 = 1 R0. Since a fraction with 0 in the numerator is always equal to zero, we don’t need to put a fraction next to our whole number. 6/6 = 1
18/6 — since we know that 18 is just 6 × 3, we know we’ll have a remainder of 0, so we don’t need to worry about the fraction part of our mixed number. 18/6 = 3
-10/3 -10 ÷ 3 = -3 R1 -10/3 = -3 1/3
