Addition and Subtraction of Mixed Fractions

Chapter 7 Class 6 Fractions
Concept wise

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 