Question

Ex. 3 din imagine va rog

Answer 1

Răspuns

Explicație pas cu pas:

a)  7 / 12 - 1/8 = ( 7 × 2) / ( 12 × 2) - 3 / 24 = ( 14 - 3 ) / 24 = 11 / 24

b)  11 / 15 - 7 / 20 = 44 / 60 - 21 / 60 = 23 / 60

c)  17 / 12 - 3/16 = ( 17 × 4)/ 48 - ( 3 × 3) / 48 = ( 68 - 9 ) / 48 = 59 / 48

d)   25 / 18 - 5 / 12 = ( 25×2) / 36 - ( 5×3)/36 = ( 50 - 15) / 36 = 35/36

e)   5 intregi si 5 / 6 = ( 5 x 6 + 5)/6 = 35/6

      1 intreg si 1 / 4 = ( 1 x 4 + 1 ) / 4 = 5 / 4

35/6 - 5 / 4 = ( 2 × 35 ) / ( 2×6) - ( 3×5) /12 =

=  ( 70 - 15) / 12 =

= 55/12 =

= 4 intregi si 7 / 12

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f) 7 intregi si 7 / 18 = ( 7 x 18 + 7 ) / 18 = 126 / 18

    6 intregi si 1 / 12 = ( 6 x 12 + 1 ) / 12 = 73 / 12

= 126 / 18 - 73 / 12 = 11 / 12

= ( 2 × 126 ) / 36 - ( 3 × 73 ) / 36 =

= 252 / 36 - 219 /36 =

= 33 / 36 =

= 11 / 12

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g)  8 intregi si 11 / 45 = ( 8 x 45 + 11 ) / 45 = 371 / 45

7 intregi si 1 / 30 = ( 7 x 30 + 1 ) /30 = 211 / 30

= 371 / 45 - 211 / 30 =

= ( 2 × 371 ) / 90 - ( 3 × 211 ) / 90 =

= ( 742 - 633 ) / 90 =

= 109 / 90 =

= 1 intreg si 19 / 90

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h)

= 229 / 24 - 185 / 20 = ( 1 145 - 1 110 ) / 20 = 35 / 20 =7/4 = 1 intreg si 3/4

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i)    = 31 / 6 - 4 / 3 = ( 31 - 8 ) / 6 = 23 / 6= 3 intregi si 5 / 6

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j)  = 145 / 18 - 8 / 3 = ( 145 - 48 ) / 18 = 97 / 18 = 5 intregi si 7/18

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k )  136 / 25 - 23 / 5 = ( 136 - 115 ) / 25 = 21 / 25

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l) = 233 / 24 - 35 / 4 = ( 233 - 210 ) / 24 = 23 / 24