<

Maths FROM 2

Chap3: fractions and decimals

Operations of fractions

Addition of fractions

  1. 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

  1. 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

  1. 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

  1. 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

  1. 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

  1. 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

  1. 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

  1. 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

par Claude Foumtum
Back Next


Maths FROM 2












Chap12: elementary probability