1)
[tex]( \frac{7}{16} - ( - \frac{5}{24} )) \div ( - 1 \frac{15}{16} ) = - \frac{1}{3} \\1) \: \: \frac{7}{16} - ( - \frac{5}{24} ) = \frac{7}{16} + \frac{5}{24} = \frac{21 + 10}{48} = \frac{31}{48} \\ 2) \: \: \frac{31}{48} \div ( - 1 \frac{15}{16} ) = - \frac{31 \times 16}{48 \times 31} = - \frac{1}{3} [/tex]
2)
[tex](5 \frac{5}{9} - 6.8) \div (2 \frac{13}{30} - 2 \frac{1}{12} ) \times 3.6 = - 12.8 \\ 1) \: \: 5 \frac{5}{9} - 6 \frac{4}{5} = 5 \frac{25}{45} - 6 \frac{36}{45} = - 1 \frac{11}{45} \\ 2) \: \: 2 \frac{13}{30} - 2 \frac{1}{12} = 2 \frac{26}{60} - 2 \frac{5}{60} = \frac{21}{60} = \frac{7}{20} \\ 3) \: \: - 1 \frac{11}{45} \div \frac{7}{20} \times 3.6 = - \frac{56 \times 20\times 18}{45 \times 7\times 5} = \\ - \frac{8 \times 4 \times 2}{5} = - \frac{64}{5} = - 12 \frac{4}{5} = - 12.8[/tex]
Пошаговое объяснение:
№1
1) 7/16 - (-5/24) = 7/16 + 5/24 = 21/48 + 10/48 = 31/48
2) 31/48 : (-1 15/16) = 31/48 : (-31/16) = 31/48 * (-16/31) = 1/3 * (-1/1) = -1/3
№2
1) 5 5/9 - 6,8 = 5 5/9 - 6 8/10 = 5 50/90 - 6 72/90 = -1 22/90 = -1 11/45
2) 2 13/30 - 2 1/12 = 2 26/60 - 2 5/60 = 21/60 = 7/20
3) -1 11/45 : 7/20 = -56/45 * 20/7 = -8/9 * 4/1 = -32/9
4) -32/9 * 3,6 = -32/9 * 36/10 = -16/1 * 4/5 = -64/5 = -12 4/5
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Answers & Comments
Verified answer
1)
[tex]( \frac{7}{16} - ( - \frac{5}{24} )) \div ( - 1 \frac{15}{16} ) = - \frac{1}{3} \\1) \: \: \frac{7}{16} - ( - \frac{5}{24} ) = \frac{7}{16} + \frac{5}{24} = \frac{21 + 10}{48} = \frac{31}{48} \\ 2) \: \: \frac{31}{48} \div ( - 1 \frac{15}{16} ) = - \frac{31 \times 16}{48 \times 31} = - \frac{1}{3} [/tex]
2)
[tex](5 \frac{5}{9} - 6.8) \div (2 \frac{13}{30} - 2 \frac{1}{12} ) \times 3.6 = - 12.8 \\ 1) \: \: 5 \frac{5}{9} - 6 \frac{4}{5} = 5 \frac{25}{45} - 6 \frac{36}{45} = - 1 \frac{11}{45} \\ 2) \: \: 2 \frac{13}{30} - 2 \frac{1}{12} = 2 \frac{26}{60} - 2 \frac{5}{60} = \frac{21}{60} = \frac{7}{20} \\ 3) \: \: - 1 \frac{11}{45} \div \frac{7}{20} \times 3.6 = - \frac{56 \times 20\times 18}{45 \times 7\times 5} = \\ - \frac{8 \times 4 \times 2}{5} = - \frac{64}{5} = - 12 \frac{4}{5} = - 12.8[/tex]
Пошаговое объяснение:
№1
1) 7/16 - (-5/24) = 7/16 + 5/24 = 21/48 + 10/48 = 31/48
2) 31/48 : (-1 15/16) = 31/48 : (-31/16) = 31/48 * (-16/31) = 1/3 * (-1/1) = -1/3
№2
1) 5 5/9 - 6,8 = 5 5/9 - 6 8/10 = 5 50/90 - 6 72/90 = -1 22/90 = -1 11/45
2) 2 13/30 - 2 1/12 = 2 26/60 - 2 5/60 = 21/60 = 7/20
3) -1 11/45 : 7/20 = -56/45 * 20/7 = -8/9 * 4/1 = -32/9
4) -32/9 * 3,6 = -32/9 * 36/10 = -16/1 * 4/5 = -64/5 = -12 4/5