Question

efectuați:
1/18+1/9+1/6=
7/36+1/18+5/6+3/4=
11/18+4/9+5/6+1/3=
71/36+5/18+17/54+13/4=
13/45+4/9+13/30+11/15=

Answer 1

   
[tex]\displaystyle \\ \frac{1}{18} + \frac{^{2)}1}{9} +\frac{^{3)}1}{6} = \frac{1}{18} + \frac{2}{18} +\frac{3}{18} = \frac{1+2+3}{18} = \frac{6}{18} =\boxed{\frac{1}{3}} \\ \\ \frac{7}{36} + \frac{^{2)}1}{18} + \frac{^{6)}5}{6} + \frac{^{9)}3}{4} = \frac{7}{36} + \frac{2}{36} + \frac{30}{36} + \frac{27}{36} = \\ \\ =\frac{7+2+30+27}{36} =\frac{66}{36} =\boxed{\frac{33}{18}} [/tex]


[tex]\displaystyle \\ \\ \frac{11}{18} + \frac{^{2)}4}{9} +\frac{^{3)}5}{6} +\frac{^{6)}1}{3}= \frac{11}{18} + \frac{8}{18} +\frac{15}{18} +\frac{6}{18}= \\ \\= \frac{11+8+15+6}{18}= \frac{40}{18}= \boxed{\frac{20}{9}} \\ \\ \frac{^{3)}71}{36}+\frac{^{6)}5}{18}+\frac{^{2)}17}{54}+\frac{^{27)}13}{4}= \frac{211}{108}+\frac{30}{108}+\frac{34}{108}+\frac{351}{108}= \\ \\ =\frac{211+30+34+351}{108} =\frac{626}{108} =\boxed{\frac{313}{54}} =\boxed{5\frac{43}{54}}[/tex]


[tex]\displaystyle \\ \frac{^{2)}13}{45}+\frac{^{10)}4}{9}+ \frac{^{3)}13}{30}+ \frac{^{6)}11}{15}= \frac{26}{90}+\frac{40}{90}+ \frac{39}{90}+ \frac{66}{90}=\\\\ =\frac{26+40+39+66}{90}=\frac{171}{90}=\boxed{\frac{19}{10}} [/tex]