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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

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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 𝟏/𝟑 & 5 𝟐/𝟑 Thus, 8 1/3 – 5 2/3 = 25/3 – 17/3 = (25 − 17)/3 = 8/3 Add 1 𝟏/𝟐 & 7𝟒/𝟏𝟏 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 Thus, 94/7 – 8 1/3 = 67/7 – 25/3 = (67 × 3 − 25 × 7)/(7 × 3) = (201 − 175)/21 = 26/21 Subtract 9 𝟒/𝟕 & 8 𝟏/𝟑 Thus, 94/7 – 8 1/3 = 67/7 – 25/3 = (67 × 3 − 25 × 7)/(7 × 3) = (201 − 175)/21 = 26/21

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.