Răspuns :

Răspuns:

Explicație pas cu pas:

5/6 + 1/9 = 15/18 + 2/18 = 17/18

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2/3 - 1/4 = 8/12 - 3/12 = 5/12

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5/12 - 3/16 = 20/48 - 9/48 = 11/48

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-3/10 - 4/15 = -9/30 - 8/30 = -17/30

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9/20 - 8/16 = 36/80 - 40/80 = -4/80 = -1/20

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1/2 + 1/3 - 1/4 = 6/12 + 4/12 - 3/12 = 7/12

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2/21 - 13/42 + 1/70 = 20/210 - 65/210 + 3/210 = -42/210 = -1/5

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13/36 + 1/9 - 5/9 = 13/36 - 4/9 = 13/36 - 16/36 = -3/36 = -1/12

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3 + 1/2 = 6/2 + 1/2 = 7/2

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4/3 + 0 = 4/3

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1/7 - 4/3 + 6/7 + 1/3 = 7/7 - 3/3 = 1 - 1 = 0

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100/200 + 101/303 + 50/300 = 1/2 + 1/3 + 1/6 = 3/6 + 2/6 + 1/6 = 6/6 = 1

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15/4 - 13/4 = 2/4 = 1/2

Targoviste44id

[tex]\it a)\ \dfrac{^{3)}5}{\ 6}+ \dfrac{^{2)}1}{\ 9} = \dfrac{15+2}{18} = \dfrac{17}{18}\ (frac\c{\it t}ie\ ireductibil\breve a) \\ \\ \\ b)\ \dfrac{2}{3} +\Big(- \dfrac{1}{4} \Big)= \dfrac{^{4)}2}{\ 3}- \dfrac{^{3)}1}{\ 4}= \dfrac{8-3}{12}= \dfrac{5}{12} \\ \\ \\ c)\ - \dfrac{5}{12}+ \dfrac{-3}{16} = -\dfrac{^{4)}5}{\ 12} - \dfrac{^{3)}3}{\ 16}=\dfrac{-20-9}{48}=- \dfrac{29}{48} \\ \\ \\ i)\ 3+ \dfrac{1}{2}=3 \dfrac{1}{2}= \dfrac{7}{2}=3,5\\ \\ \\ j)\ \dfrac{4}{3}+0= \dfrac{4}{3}[/tex]

[tex]\it m)\ 3 \dfrac{3}{4}+\Big(-3 \dfrac{1}{4} \Big)=(3-3) +\Big( \dfrac{3}{4}- \dfrac{1}{4} \Big) =0+ \dfrac{2}{4}= \dfrac{\ 2^{(2}}{4} = \dfrac{1}{2}[/tex]

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