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

Β

Letβs take some examples

Β

#### Add 1 1/2 & 3 1/2

11/2 = 1 + 1/2 = (1 Γ 2 + 1)/2 = (2 + 1)/2 = 3/2

31/2 = 3 + 1/2 = (3 Γ 2 + 1)/2 = (6 + 1)/2 = 7/2

Β

Thus,

Β  1 1/2 + 3 1/2 = 3/2 + 7/2

Β  Β  Β  Β  Β  Β  = (3 + 7)/2

Β  Β  Β  Β  Β  Β = 10/2

Β  Β  Β  Β  Β  Β = 5

Β

#### Subtract 8 Β  1/3 & 5 2/3

81/3 = 8 + 1/3 = (8 Γ 3 + 1)/3 = (24 + 1)/3 = 25/3

52/3 = 5 + 2/3 = (5 Γ 3 + 2)/3 = (15 + 2)/3 = 17/3

Β

Thus,

Β  8 Β 1/3 β 5 2/3 = 25/3 β 17/3

Β  Β  Β  Β  Β  Β  Β  = (25 - 17)/3

Β  Β  Β  Β  Β  Β  Β  Β  Β  Β  Β  Β  Β = 8/3

Β

#### Add 1 1/2 & 7 4/11

1 1/2 = 1 + 1/2 = (1 Γ 2 + 1)/2 = (2 + 1)/2 = 3/2

74/11 = 7 + 4/11 (7 Γ 11 +4)/11 = (77 + 4)/11 = 81/11

.

Thus,

Β  1 1/2 + 74/11 = 3/2 + 81/11

Β  Β  Β  Β  Β  Β  Β = (3 Γ 11 + 81 Γ 2)/(2 Γ 11)

Β  Β  Β  Β  Β  Β  Β = (33 + 162)/22

Β  Β  Β  Β  Β  Β  Β = 195/22

Β

#### Subtract 9 4/7 & 8 Β  1/3

94/7 = 9 + 4/7 = (9 Γ 7 + 4)/7 = (63 + 4)/7 = 67/7

81/3 = 8 + 1/3 = (8 Γ 3 + 1)/3 = (24 + 1)/3 = 25/3

Β

Thus,

Β  94/7 β 8 Β 1/3 = 67/7 β 25/3

Β  Β  Β  Β  Β  Β  = (67 Γ 3 - 25 Γ 7)/(7 Γ 3)

Β  Β  Β  Β  Β  Β  = (201 - 175)/21

Β = 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 Letβs take some examples Add 1 π/π & 3 π/π Thus, 1 1/2 + 3 1/2 = 3/2 + 7/2 = (3 + 7)/2 = 10/2 = 5 Subtract 8 π/π & 5 π/π Thus, 8 1/3 β 5 2/3 = 25/3 β 17/3 = (25 β 17)/3 = 8/3 Add 1 π/π & 7π/ππ 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/π & 8 π/π Thus, 94/7 β 8 1/3 = 67/7 β 25/3 = (67 Γ 3 β 25 Γ 7)/(7 Γ 3) = (201 β 175)/21 = 26/21 Subtract 9 π/π & 8 π/π Thus, 94/7 β 8 1/3 = 67/7 β 25/3 = (67 Γ 3 β 25 Γ 7)/(7 Γ 3) = (201 β 175)/21 = 26/21