Matematică, întrebare adresată de vasilemarianviorel, 8 ani în urmă

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Răspuns de andyilye
0

Explicație pas cu pas:

6.

 \frac{7}{2}  =  \frac{3 \times 2 + 1}{2}  = 3 \frac{1}{2}  \\  \frac{17}{6}  =  \frac{2 \times 6 + 5}{6}  = 2 \frac{5}{6}  \\  \frac{58}{9}  =  \frac{6 \times 9 + 4}{9}  =6 \frac{4}{9}  \\  \frac{111}{10} =  \frac{11 \times 10 + 1}{10}  = 11 \frac{1}{10} \\  \frac{87}{25}   =  \frac{3 \times 25 +12 }{25}  = 3 \frac{12}{25}

7.

5 \frac{1}{2}  =  \frac{5 \times 2 + 1}{2}  = \frac{10 + 1}{2}  =   \frac{11}{2} \\ 3 \frac{3}{5} =  \frac{3 \times 5 + 3}{5}   =  \frac{15 + 3}{5}   =  \frac{18}{5}  \\ 6 \frac{5}{7} =  \frac{6 \times 7 + 5}{7}   =  \frac{42 + 5}{7}  =  \frac{47}{7} \\ 11 \frac{10}{11}  =  \frac{11 \times 11 + 10}{11}  =  \frac{121 + 10}{11}  \frac{131}{11}

8.

 \frac{1}{2}  \times 12 =  \frac{12}{2}  = 6 \\  \frac{3}{5}  \times 60 =  \frac{3 \times 60}{5}  = 3 \times 12 = 36  \\  \frac{4}{5}  \times 75 =  \frac{4 \times 75}{5}  = 4 \times 15 = 60 \\  \frac{5}{2}  \times 66 =  \frac{5 \times 66}{2}  = 5 \times 33 = 165 \\  \frac{5}{7}  \times 21 =  \frac{5 \times 21}{7}  = 5 \times 3 = 15

b.

 \frac{10}{100}  \times 100 = 10 \\  \frac{25}{100}  \times 20 =  \frac{1}{4}  \times 20 = 5 \\  \frac{20}{100}  \times 45 =  \frac{1}{5}  \times 45 = 9 \\  \frac{6}{100}  \times 150 = 3 \times 3 = 9 \\  \frac{10}{100} \times  \frac{2}{3}   \times 300 = 10 \times 2 = 20

9.

 \frac{1}{4}  +  \frac{3}{4}  +  \frac{2}{4}  =  \frac{1 + 3 + 2}{4}  =  \frac{6}{4}  =  \frac{3}{2}  = 1 \frac{1}{2}

 \frac{4}{6}  + 1 \frac{1}{2}  + 2 \frac{5}{3}  =  \frac{4}{6}  +  \frac{3}{2}  +  \frac{11}{3}  =  \frac{4 + 9 + 22}{3}  =  \frac{35}{6} = 5 \frac{5}{6}

 \frac{1}{4}  + 2 \frac{1}{5}  -  \frac{7}{20}  =  \frac{1}{4} +  \frac{11}{5}   -  \frac{7}{20}  =  \frac{5 + 44 - 7}{20}  =  \frac{42}{20} =  \frac{21}{10}  = 2 \frac{1}{10}

 \frac{1}{10}  +  \frac{3}{4}  + 2 \frac{2}{15}  - 1 \frac{1}{12}  =  \frac{1}{10}  +  \frac{3}{4}  +  \frac{32}{15}  -  \frac{13}{12}  = \frac{6 + 45 + 128 - 65}{60}  =  \frac{114}{60}  = \frac{19}{10}  = 1 \frac{9}{10}

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