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Scrieti folosind paranteze,apoi calculati: a)Din suma fractiilor 18 intreg 3/4 si 16 intreg 3/5 scadeti diferenta fractiilor 25 intreg 5/8 si 17 intreg 7/10.

Răspuns :

[tex] (18\frac{3}{4} + 16\frac{3}{5}) [/tex] - [tex] (25\frac{5}{8} - 17\frac{7}{10}) [/tex] = [tex] (\frac{4 X 18 + 3}{4} + \frac{5 X 16 + 3}{5}) [/tex] - [tex] (\frac{8 X 25 + 5}{8} - \frac{10 X 17 + 7}{10}) [/tex] = [tex] (\frac{75}{4} + \frac{83}{5}) [/tex] - [tex] (\frac{205}{8} - \frac{177}{10}) [/tex] =

[tex] \frac{75}{4} [/tex] amplificam cu 5 = [tex] \frac{75 X 5}{4 X 5} [/tex] = [tex] \frac{375}{20} [/tex]
[tex] \frac{83}{5} [/tex] amplificam cu 4 = [tex] \frac{83 X 4}{5 X 4} [/tex] = [tex] \frac{332}{20} [/tex]
[tex] \frac{205}{8} [/tex] amplificam cu 5 = [tex] \frac{205 X 5}{8 X 5} [/tex] = [tex] \frac{1025}{40} [/tex]
[tex] \frac{177}{10} [/tex] amplificam cu 4 = [tex] \frac{177 X 4}{10 X 4} [/tex] = [tex] \frac{708}{40} [/tex]

[tex] (\frac{375}{20} + \frac{332}{20}) [/tex] - [tex] (\frac{1025}{40} - \frac{708}{40}) [/tex] = [tex] \frac{375 + 332}{20} - \frac{1025 - 708}{40} [/tex] = [tex] \frac{707}{20} - \frac{317}{40} [/tex] =

[tex] \frac{707}{20} [/tex] amplificam cu 2 = [tex] \frac{707 X 2}{20 X 2} [/tex] = [tex] \frac{1414}{40} [/tex]
iar [tex] \frac{317}{40} [/tex] lasam asa.

[tex] \frac{1414}{40} [/tex] - [tex] \frac{317}{40} [/tex] = [tex] \frac{1414 - 317}{40} [/tex] = [tex] \frac{1097}{40} [/tex] = 27,425