Question

6. Calculați media aritmetică a urmatoarelor numere rationale pozitive: a)7pe2,3pe4 b)5pe6,7pe4 c)1pe6,8pe9 d)4pe5,9pe4​

Answer 1

Răspuns:

a) $\frac{17}{8}$

b) $\frac{31}{24}$

c) $\frac{19}{36}$

d) $\frac{61}{40}$

Explicație pas cu pas:

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

b) $\frac{\frac{5}{6}+\frac{7}{4} }{2} = \frac{\frac{2*5+3*7}{12} }{2} = \frac{10+21}{12*2} = \frac{31}{24}$

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

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

Answer 2

Răspuns:

Explicație pas cu pas:

a) ma=(7/2+3/4)/2=(7·2+3)/8=17/8

b)ma=(5/6+7/4)/2=(5·2+7·3)/24=31/24

c)ma=(1/6+8/9)/2=(3+8·2)/36=19/36

d) ma=(4/5+9/4)/2=(4·4+5·9)/40=61/40