Addition of fractions
- Common denominators
Ex: evaluate a)2/27 + 6/27, b)5/a + 2/a
Solution: a) 2/27 + 6/27 = 2+627
= 8/27 b)5/a + 2/a = 5+2a
= 7/a
- Different denominators
Ex: evaluate a)3/4 + 1/6, b)5/9 + 2/3 + 5/6
Solution: a) 3/4 + 1/6 b) 5/9 + 2/3 + 5/6
18+4 = 22/24 = 11/12 10+12+15 = 33/18 = 3118
24 18
- Mixed fraction
Ex: evaluate a)234
+ 5512
b)4910
+ 215
+613
Solution: a) 234
+ 5512
b) 4910
+ 215
+613
7 9+5 = 71412
= 776
= 816
12 81+18+30 = 1212990
= 124330
12 90
Subtraction of fractions
- Common denominators
Ex: evaluate a)4/5 – 3/5, b)13/15 – 4/15
Solution: a) 4/5 – 3/5 = 4-35
= 1/5 b)13/15 – 4/15 = 13-415
= 9/15
- Different denominators
Ex: evaluate a)1/3 – 1/4, b)5/7 – 4/6
Solution: a) 1/3 – 1/4 b) 5/7 – 4/6
4-3 = 1/12 30-28 = 2/42 = 11/21
12 42
- Mixed fraction
Ex: evaluate a) 312
- 115
b) 134
- 223
Solution: a) 312
- 115
b) 134
- 223
2 5-2 = 2310
-1 9-8 = -1112
10 12
Multiplication of fractions
- Vulgar fractions
a/b * c/d = a*cb*d
where b, d ≠ 0
Ex: evaluate a)3/5 * 4/7, b) 4 * 1/5
Solution: a) 3/5 * 4/7 = 3*45*7
= 12/35 b) 4 * 1/5 = 4/5
- Mixed fractions
Ex: evaluate a) 412
* 323
b) 2/5 * 318
Solution: a) 412
* 323
= 9/2 * 11/8 = 33/2 = 1612
2/5 * 318
= 2/5 * 25/8 = 5/4 = 114