Improper fraction: top number / bottom number, when the top number is bigger than the bottom number.
2/9 is not an improper fraction.
9/2 is an improper fraction.
Mixed fractions: big number then top number / bottom number
4 7/8
Improper fraction to mixed fraction:
Let's try 39 / 8
How many times does 8 go into 39? 4 times.
So 4 is the big number.
What is 4 * 8? 32
How much is left after we take 32 out of 39? 39 - 32 = 7
So 7 is the top of the fraction
4 7/8
Mixed fraction to improper fraction:
Starting with 4 7/8
big number * bottom number + top number
4 * 8 + 7
32 + 7
39
put that on the top of the fraction
39 / 8
Examples:
1 2/3
1*3+2 = 5
5/3
23/5
5 goes into 23 four times
5*4=20
23-20 = 3
5 3/5
3 7/9
3*9+7 = 34
34/9
88/6
6 goes into 88 fourteen times
6*14 = 84
88-84=4
14 4/6
14 2/3