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# 特殊分数的商与和

-----特殊分数的商与和

a c 如果在分数 和 a 中， c 能被 b d 整除， 能被d 整除，那么 b

a c a ?c ? ? b d b?d

8 2 ? =4 9 9

14 7 2 ? = 27 9 3

28 7 4 ? = 45 9 5

3 1 3 ? = 10 5 2

1 1 1 ′ = 2 3 6

1 1 1 ? = 6 3 2

1 1 1 + = 6 3 2

1 1 1 ′ = 3 4 12

1 1 1 1 1 1 ? = + = 12 4 3 12 4 3

1 1 1 1 1 1 1 1 1 ′ = ? = + = 4 5 20 20 5 4 20 5 4

1 1 1 ′ = 5 6 30

1 1 1 1 1 1 ? = + = 30 6 5 30 6 5

(1)

1 1 1 ′ = 2 3 6

1 1 1 ? = 6 3 2

1 1 1 + = 6 3 2

1 1 1 1 ? = + 6 3 6 3

( 2)

1 1 1 ′ = 3 4 12

1 1 1 ? = 12 4 3

1 1 1 + = 12 4 3

1 1 1 1 ? = + 12 4 12 4

( 3)

1 1 1 ′ = 4 5 20

1 1 1 ? = 20 5 4

1 1 1 + = 20 5 4

1 1 1 1 ? = + 20 5 20 5

( 4)

1 1 1 ′ = 5 6 30

1 1 1 ? = 30 6 5

1 1 1 + = 30 6 5

1 1 1 1 ? = + 30 6 30 6

1 1 1 ′ = 2 3 6 1 1 1 ′ = 3 4 12 1 1 1 ′ = 4 5 20 1 1 1 ′ = 5 6 30

1 1 1 ? = 6 3 2 1 1 1 ? = 12 4 3 1 1 1 ? = 20 5 4 1 1 1 ? = 30 6 5

1 1 1 ? = 2 6 3 1 1 1 ? = 12 4 3 1 1 1 ? = 20 5 4 1 1 1 ? = 30 6 5

1 1 1 + = 2 6 3

1 1 1 + = 12 4 3 1 1 1 + = 20 5 4 1 1 1 + = 30 6 5

1 1 1 1 1 ′ = （ ）÷（ ）= 6 7 42 42 7 1 1 1 1 1 ′ = （ ）÷（ ）= 8 7 8 56 56 1 1 1 （ ）+（ ）= 7 6 42 1 1 1 （ ）+（ ）= 7 56 8 1 6 1 7

1 1 1 1 1 ′ = （ ）÷（ ）= 8 9 72 72 9 1 1 1 1 1 ′ = （ ）÷（ ）= 10 9 10 90 90 1 1 1 （ ）+（ ）= 9 8 72 1 1 1 （ ）+（ ）= 9 90 10 1 8 1 9

1 1 1 ′ = 2 3 6 1 1 1 ′ = 3 4 12 1 1 1 ′ = 4 5 20 1 1 1 ′ = 5 6 30

1 1 1 ? = 2 6 3 1 1 1 ? = 12 4 3 1 1 1 ? = 20 5 4 1 1 1 ? = 30 6 5

1 1 1 + = 2 6 3 1 1 1 + = 12 4 3 1 1 1 + = 20 5 4 1 1 1 + = 30 6 5

1 1 1 ′ = 6 7 42 1 1 1 ′ = 7 8 56 1 1 1 ′ = 8 9 72 1 1 1 ′ = 9 10 90

1 1 1 ? = 42 7 6 1 1 1 ? = 56 8 7 1 1 1 ? = 72 9 8 1 1 1 ? = 90 10 9

1 1 1 + = 6 42 7

1 1 1 + = 56 8 7 1 1 1 + = 72 9 8 1 1 1 + = 90 10 9

1 如果在分数 a

1 和 b

a中，b 和
b?a

1 1 1 ′ = 11 12 132 1 1 1 ? = 132 11 12 1 1 13 + =( ) 132 11 132

1 1 1 ′ = 2 3 6

1 1 1 - = 2 3 6
1 1 1 - = 3 4 12 1 1 1 - = 4 5 20 1 1 1 - = 5 6 30

1 1 1 ′ = 3 4 12
1 1 1 ′ = 4 5 20 1 1 1 ′ = 5 6 30

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