Question

493. Вычислите: 1)4 2/9+5 2/3-1 4/9 3)5 3/5-2 6/11-3 3/5 5)20-3 8/15+10 4/15 7)15 7/11-4 9/16+3 4/11 9)12 4/13-2 13/20+3 9/13 ПОМОГИТЕ ПЖ ПЖ ПЖ​

Answer 1

Ответ:

Ну вот так у меня вышло, надеюсь помогла

Answer 2

Ответ:

1) $4\frac{2}{9}+5\frac{2}{3}-1\frac{4}{9}=(4+5-1)+(\frac{2}{9}+\frac{2}{3}-\frac{4}{9}) =(9-1)+(\frac{2+3*2-4}{9} )=8+(\frac{2+6-4}{9} )=\\\\=8+\frac{4}{9} =8\frac{4}{9} .$

3) $5\frac{3}{5}-2\frac{6}{11}+3\frac{3}{5}=(5-2+3)+( \frac{3}{5}-\frac{6}{11}+\frac{3}{5})=(3+3)+(\frac{11*3-6*5+3*11}{55} )=\\\\=6+(\frac{33-30+33}{55} )=6+\frac{36}{55} =6\frac{36}{55}.$

5) $20-3\frac{8}{15}+10\frac{4}{15}=20-\frac{15*3+8}{15} + \frac{15*10+4}{15} =20-\frac{53}{15}+\frac{154}{15} =\frac{20*15-53+154}{15} =\\\\=\frac{300-53+154}{15} =\frac{401}{15}=26\frac{11}{15} .$

7) $15\frac{7}{11}-4\frac{9}{16}+3\frac{4}{11}=(15-4+3) +(\frac{7}{11}-\frac{9}{16}+\frac{4}{11})=(11+3)+(\frac{7}{11}+\frac{4}{11}-\frac{9}{16})=\\\\=14+(\frac{11}{11}-\frac{9}{16})=14+(1-\frac{9}{16})=14+\frac{7}{16} =14\frac{7}{16}.$

9) $12\frac{4}{13}-2\frac{13}{20}+3\frac{9}{13}=(12-2+3)+(\frac{4}{13}-\frac{13}{20}+\frac{9}{13}) = (10+3)+(\frac{4}{13}+\frac{9}{13}-\frac{13}{20})=\\\\=13+(\frac{13}{13}-\frac{13}{20})=13+(1-\frac{13}{20})=13+(\frac{20}{20} -\frac{13}{20})=13+\frac{7}{20} =13\frac{7}{20} .$