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