Dividing Fractions
1/3 divided by 4/5
5/12
1/4 X 1/3
1/12
1/7 + 2/7
3/7
3/2- 1/2
2/2 or 1
5/15 reduced or simplified
1/3
5/8 divided by 2/4
10/8 OR 1 2/8 OR 1 1/4
2/5 X 1/7
2/35
4/5 + 1/5
5/5 or 1
1/2-1/3
1/6
Explanation:
Find common denominators.
1/2 x 3/3 = 3/6
1/3 x 2/2= 2/6
3/6-2/6= 1/6
12/24 reduced or simplified
1/2
4/3 divided by 5/4
16/5 or 1 1/5
8/10 X 4/9
32/90 OR 16/45
2/4 + 6/8
10/8 OR 5/4 OR 1 1/4
Explanation:
1) Find common denominator
2/4 x 2/2= 4/8
2) add
4/8 + 6/8= 10/8
5/8- 1/4
3/8
Explanation:
Find a common denominator to subtract
1/4 X 2/2 = 2/8
5/8- 2/8 = 3/8
8/32 reduced or simplified
1/4
1 2/3 divided by 2 7/8
40/ 69
3/11 X 2/9
6/99 OR 2/33
12/25 + 17/75
53/75
Explanation:
1) Find common denominator
12/25 x 3/3= 36/75
2) Add
36/75 + 17/75= 53/75
3 1/4- 2 1/6
Hint: Start by changing the mixed numbers into improper fractions
13/12 OR 1 1/12
Explanation:
1) Change to improper fractions
13/4-13/6
2) Find common denominator
13/2 x 3/3= 39/12
13/6 x 2/2= 26/12
3) Subtract
39/12 - 26/12= 13/12 OR 1 1/12
64/8 reduced or simplified
8
2 3/7 divided by 3 5/9
153/ 224
5/12 X 6/12
30/ 144 OR 5/24
(30/144 divided by 6/6 = 5/24)
4 1/6 + 3 2/9
Hint: Change to improper fractions
133/18 OR 7 7/18
Explanation:
1) Change to improper fraction
25/6 + 29/9
2) Find common denominator
25/6 x 3/3= 75/18
29/9 x 2/2= 58/18
3) Add
75/18 + 58/18 = 133/18
7 2/7 - 7 1/9
Hint: Start by changing into improper fractions
11/63
Explanation:
1) change to improper fraction
64/9- 51/7
2) find common denominator
51/7 x 9/9= 459/63
64/9 x 7/7= 448/63
459/63- 448/63= 11/63
144/ 132
1 12/132 OR 1 1/11
12/132 divided by 12/12= 1/11