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calculati a)3-(1-1/4)-(4-7/2)
b)3 1/3+2 1/5-(7/15+2 1/3)


Răspuns :

A)
[tex]3 - (1 - \frac{1}{4} ) - (4 - \frac{7}{2} ) = [/tex]


[tex]3 - \frac{4 - 1}{4} - \frac{2 \times 4 - 7}{2} = 3 - \frac{3}{4} - \frac{1}{2} [/tex]


[tex] = \frac{3 \times 4 - 3 - 2 \times 1}{4} = \frac{12 - 3 - 2}{4} = \frac{7}{4} [/tex]
B)
[tex]3 \frac{1}{3} + 2 \frac{1}{5} - ( \frac{7}{15} + 2 \frac{1}{3} )[/tex]



[tex] \frac{3 \times 3 + 1}{ 3} + \frac{2 \times 5 + 1}{5} - ( \frac{7}{15} + \frac{2 \times 3 + 1}{3} )[/tex]



[tex] = \frac{10}{3} + \frac{11 }{5} - ( \frac{7}{15} + \frac{7}{3} ) = [/tex]



[tex] = \frac{10}{ 3} + \frac{11}{5} - \frac{7 + 5 \times 7}{15} = [/tex]



[tex] \frac{5 \times 10 + 3 \times 11 - 7 + 35}{15} = \frac{50 + 33 - 42}{15} = \frac{41}{15} [/tex]