Check sibling questions

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

Get live Maths 1-on-1 Classs - Class 6 to 12


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

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.