Question

8. Calculaţi media aritmetică a urmatoarelor numere rationale pozitive.
a) 7/2, 3/4
b) 5/6, 7/4
c) 1/6, 8/9
d) 4/5, 9/4​

Answer 1

a) $\frac{\frac{7}{2} +\frac{3}{4} }{2}$=$\frac{\frac{14}{4} +\frac{3}{4} }{2} = \frac{\frac{17}{4} }{2} =\frac{17}{8}$

b) $\frac{\frac{5}{6}+\frac{7}{4} }{2} = \frac{\frac{10}{12} +\frac{21}{12} }{2}=\frac{\frac{31}{12} }{2}=\frac{31}{24}$

c) $\frac{\frac{1}{6} +\frac{8}{9} }{2} =\frac{\frac{3}{18} +\frac{16}{18} }{2}=\frac{\frac{19}{18} }{2} =\frac{19}{36}$

d)$\frac{\frac{4}{5}+\frac{9}{4} }{2} =\frac{\frac{16}{20}+\frac{45}{20} }{2}=\frac{\frac{61}{20} }{2}=\frac{61}{40}$