Calculează folosind proprietăţile adunarii:1/2+2/4+5/7+4/8+1/2+2/7+1/8+2/4+3/8=​

Răspuns :

[tex] \frac{1}{2} + \frac{2}{4} + \frac{5}{7} + \frac{4}{8} +\frac{1}{2}+\frac{2}{7}+\frac{1}{8}+\frac{2}{4}+\frac{3}{8}=[/tex]

[tex] \frac{1 + 1}{2} + \frac{2 + 2}{4} + \frac{5 + 2}{7} + \frac{4 + 1 + 3}{8}=[/tex]

[tex]\frac{2}{2} + \frac{4}{4} + \frac{7}{7} + \frac{8}{8}=[/tex]

[tex]1 + 1 + 1 + 1 = 4[/tex]

Răspuns:

1/2+2/4+5/7+4/8+1/2+2/7+1/8+2/4+3/8=

= 1\2+1/2+2/4+2/4+5/7+2/7+1/8+4/8+3/8=

=2/2+4/4+7/7+8/8=

=1+1+1+1=

=4