LEK (na nudę), czyli Letni Edukacyjny Konkurs. Oblicz: a) [latex]3,6+frac23=[/latex]3,6+2/3 b) [latex]4frac18-1,11=[/latex] c) [latex]2,27+frac27=[/latex] d) [latex]0,125-frac19=[/latex] e) [latex]3frac13-3,3=[/latex] f) [latex]1frac15-0,09=

[latex]3,6+ frac{2}{3}=3 frac{6}{10}+ frac{2}{3} = frac{36}{10}+ frac{2}{3}= frac{108}{30}+ frac{20}{30}= frac{128}{30}= 4 frac{8}{30} \ \ 4 frac{1}{8}-1 frac{11}{100}= frac{33}{8}- frac{111}{100}= frac{4125}{1000}- frac{1110}{1000} = frac{3015}{1000}=3 frac{15}{1000} \ \ 2 frac{27}{100}+ frac{2}{7}= frac{227}{100}+ frac{2}{7}= frac{1589}{700}+ frac{200}{700}= frac{1789}{700}=2 frac{389}{700} \ \ frac{1}{8}- frac{1}{9}= frac{9}{72}- frac{8}{72}= frac{1}{72}[/latex] [latex]3frac{1}{3}-3 frac{3}{10}= frac{10}{3}- frac{33}{10}= frac{100}{30}- frac{99}{30}= frac{1}{30} \ \ 1 frac{1}{5}-0,09= frac{6}{5}- frac{9}{100}= frac{120}{100}- frac{9}{100}= frac{111}{100}=1,11 [/latex]

a) 3,6 + 2/3 = 3 i 6/10 + 2/3 = 3 i 18/30 + 20/30 = 3 i 38/30 = 4 i 8/30 = 4 i 4/15   b) 4 i 1/8 - 1,11 = 4 i 125/1000 - 1,11 = 4,125 - 1,11 = 3,015  c) 2,27 + 2/7 = 2 i 27/100 + 2/7 = 2 i 189/700 + 200/700 = 2 389/700 d) 0,125 - 1/9 = 1/8 - 1/9 = 9/72 - 8/72 = 1/72  e) 3 i 1/3 - 3,3 = 3 i 1/3 - 3 i 3/10 = 3 i 10/30 - 3 i 9/10 = 1/30 f) 1 i 1/5 - 0,09 = 1,2 - 0,09 = 1,11