Question

Ex 5 va implor euuuuuu

Answer 1

Răspuns:

Explicație pas cu pas:

$3\dfrac{2}{7} = \dfrac{21 + 2}{7} = \dfrac{23}{7}$

$2\dfrac{4}{5} = \dfrac{10 + 4}{5} = \dfrac{14}{5}$

$1\dfrac{1}{3} = \dfrac{3 + 1}{3} = \dfrac{4}{3}$

$1\dfrac{2}{5} = \dfrac{5 + 2}{5} = \dfrac{7}{5}$

$2\dfrac{2}{3} = \dfrac{6 + 2}{3} = \dfrac{8}{3}$

$M = \bigg\{5; \dfrac{23}{7}; \dfrac{14}{5}; \dfrac{5}{7}; \dfrac{3}{8}; \dfrac{4}{3}; \dfrac{7}{5}; \dfrac{7}{23}; \dfrac{8}{3}; \dfrac{3}{4}\bigg\}$

a) perechi de numere reciproc inverse:

$\dfrac{23}{7} \ si \ \dfrac{7}{23} \iff 3\dfrac{2}{7} \ si \dfrac{7}{23}$

$\dfrac{5}{7} \ si \ \dfrac{7}{5} \iff \dfrac{5}{7} \ si \ 1\dfrac{2}{5}$

$\dfrac{3}{8} \ si \ \dfrac{8}{3} \iff \dfrac{3}{8} \ si \ 2\dfrac{2}{3}$

$\dfrac{4}{3} \ si \ \dfrac{3}{4} \iff 1\dfrac{1}{3} \ si \ \dfrac{3}{4}$

b)

$A = \bigg\{3\dfrac{2}{7}; \dfrac{5}{7}; \dfrac{3}{8}; 1\dfrac{1}{3}; 1\dfrac{2}{5}; \dfrac{7}{23}; 2\dfrac{2}{3}; \dfrac{3}{4}\bigg\}$

$\implies \bf card \ A = 8$