Mixed fractions have a whole and a part

Eg: 1 1/2, 2 2/3, 7 6/11, 8 1/8

 

Let’s take some examples

 

Add 1 1/2 & 3 1/2

11/2 = 1 + 1/2 = (1 × 2 + 1)/2 = (2 + 1)/2 = 3/2

31/2 = 3 + 1/2 = (3 × 2 + 1)/2 = (6 + 1)/2 = 7/2

 

Thus,

  1 1/2 + 3 1/2 = 3/2 + 7/2

            = (3 + 7)/2

           = 10/2

           = 5

 

Subtract 8   1/3 & 5 2/3

81/3 = 8 + 1/3 = (8 × 3 + 1)/3 = (24 + 1)/3 = 25/3

52/3 = 5 + 2/3 = (5 × 3 + 2)/3 = (15 + 2)/3 = 17/3

 

Thus,

  8  1/3 – 5 2/3 = 25/3 – 17/3

              = (25 - 17)/3

                         = 8/3

 

Add 1 1/2 & 7 4/11

1 1/2 = 1 + 1/2 = (1 × 2 + 1)/2 = (2 + 1)/2 = 3/2

74/11 = 7 + 4/11 (7 × 11 +4)/11 = (77 + 4)/11 = 81/11

.

Thus,

  1 1/2 + 74/11 = 3/2 + 81/11

             = (3 × 11 + 81 × 2)/(2 × 11)

             = (33 + 162)/22

             = 195/22

 

Subtract 9 4/7 & 8   1/3

94/7 = 9 + 4/7 = (9 × 7 + 4)/7 = (63 + 4)/7 = 67/7

81/3 = 8 + 1/3 = (8 × 3 + 1)/3 = (24 + 1)/3 = 25/3

 

Thus,

  94/7 – 8  1/3 = 67/7 – 25/3

            = (67 × 3 - 25 × 7)/(7 × 3)

            = (201 - 175)/21

 = 26/21

  1. Chapter 7 Class 6 Fractions
  2. Concept wise

Transcript

Adding & Subtracting of Mixed FractionsMixed fractions have a whole and a part Eg: 11/2, 22/3, 7 6/11, 81/8 Let’s take some examples Add 1 𝟏/𝟐 & 3 𝟏/𝟐 Thus, 1 1/2 + 3 1/2 = 3/2 + 7/2 = (3 + 7)/2 = 10/2 = 5 Subtract 8 𝟏/πŸ‘ & 5 𝟐/πŸ‘ Thus, 8 1/3 – 5 2/3 = 25/3 – 17/3 = (25 βˆ’ 17)/3 = 8/3 Add 1 𝟏/𝟐 & 7πŸ’/𝟏𝟏 Thus, 1 1/2 + 74/11 = 3/2 + 81/11 = (3 Γ— 11 + 81 Γ— 2)/(2 Γ— 11) = (33 + 162)/22 = 195/22 Subtract 9 πŸ’/πŸ• & 8 𝟏/πŸ‘ Thus, 94/7 – 8 1/3 = 67/7 – 25/3 = (67 Γ— 3 βˆ’ 25 Γ— 7)/(7 Γ— 3) = (201 βˆ’ 175)/21 = 26/21 Subtract 9 πŸ’/πŸ• & 8 𝟏/πŸ‘ Thus, 94/7 – 8 1/3 = 67/7 – 25/3 = (67 Γ— 3 βˆ’ 25 Γ— 7)/(7 Γ— 3) = (201 βˆ’ 175)/21 = 26/21

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 9 years. He provides courses for Maths and Science at Teachoo.