Пошаговое объяснение:
№1045
1) 6 3/4 + 5 1/2 = 6 3/4 + 5 2/4 = 11 5/4 = 12 1/4
2) 26 * 7/26 = 1 * 7/1 = 7/1 = 7
3) 12 1/4 : 7 = 49/4 * 1/7 = 7/4 * 1/1 = 7/4 = 1 3/4
№1046
1) 2 1/3 - 2 5/6 = 2 2/6 - 2 5/6 = -3/6 = -1/2
2) -1/2 : 1 1/6 = -1/2 : 7/6 = -1/2 * 6/7 = -1/1 * 3/7 = -3/7
3) -3/7 + 5 3/14 = -6/14 + 5 3/14 = -6/14 + 4 17/14 = 4 11/14
№1052
1) 14/22 * 3/4 = 7/22 * 3/2 = 21/44
2) 21/44 : 3/5 = 21/44 * 5/3 = 7/44 * 5/1 = 35/44
3) 1/22 : 2/31 = 1/22 * 31/2 = 31/44
4) 35/44 - 31/44 = 4/44 = 1/11
5) 1/11 : 1/22 = 1/11 * 22/1 = 22/11 = 2
6) 3 * 2/5 = 6/5
7) 6 : 6/5 = 6 * 5/6 = 30/6 = 5
8) 2 + 5 = 7
[tex]2 \frac{1}{7} \times (3 + \frac{6}{5} ) \div \frac{3}{5} = \frac{15}{7} \times 3 \frac{6}{5} \times \frac{5}{3} = \frac{15 \times 21 \times 5}{7 \times 5 \times 3} = 15[/tex]
[tex](1 \div 0.3 - 2 \frac{1}{3} ) \times 2 \frac{1}{7} =( \frac{10}{3} - \frac{7}{3} ) \times 2 \frac{1}{7} = 1 \times 2 \frac{1}{ 7} = 2 \frac{1}{7}[/tex]
[tex](6 \frac{3}{4} + 5 \frac{1}{2} ) \div (26 \times \frac{7}{26} ) = (6 \frac{3}{4} + 5 \frac{2}{4} ) \div 7 = 11 \frac{5}{4} \div 7 = \\ = \frac{49}{4 \times 7} = \frac{7}{4} = 1 \frac{3}{4} = 1.75[/tex]
[tex](2 \frac{1}{3} - 2 \frac{5}{6} ) \div 1 \frac{1}{6} + 5 \frac{3}{14} = 4 \frac{11}{14} \\ 1) \: 2 \frac{1}{3} - 2 \frac{5}{6} = 2 \frac{2}{6} - 2 \frac{5}{6} = - \frac{3}{6} = - \frac{1}{2} \\ 2) \: - \frac{1}{2} \div 1 \frac{1}{6} = - \frac{6}{2 \times 7} = - \frac{3}{7} \\ 3) \: - \frac{3}{7} + 5 \frac{3}{14} = - \frac{6}{14} + 4 \frac{17}{14 } = 4 \frac{11}{14} [/tex]
[tex](( \frac{14}{22} \times \frac{3}{4} ) \div \frac{3}{5} - \frac{1}{22} \div \frac{2}{31} ) \div \frac{1}{22} + 6 \div (3 \times \frac{2}{5} ) =7 \\ 1) \: \frac{14}{22} \times \frac{3}{4} = \frac{21}{44} \\ 2) \: \frac{21}{44} \div \frac{3}{5} = \frac{21 \times 5}{44 \times 3} = \frac{35}{44} \\ 3) \: \frac{1}{22} \div \frac{2}{31} = \frac{31}{22 \times 2} = \frac{31}{44} \\ 4) \: \frac{35}{44} - \frac{31}{44} = \frac{4}{44} = \frac{1}{11} \\ 5) \: \frac{1}{11} \div \frac{1}{22} = \frac{22}{11} = 2 \\ 6) \: 3 \times \frac{2}{5} = \frac{6}{5} \\ 7) \: 6 \div \frac{6}{5} = \frac{6 \times 5}{6} = 5 \\ 8) \: 2 + 5 = 7[/tex]
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Answers & Comments
Пошаговое объяснение:
№1045
1) 6 3/4 + 5 1/2 = 6 3/4 + 5 2/4 = 11 5/4 = 12 1/4
2) 26 * 7/26 = 1 * 7/1 = 7/1 = 7
3) 12 1/4 : 7 = 49/4 * 1/7 = 7/4 * 1/1 = 7/4 = 1 3/4
№1046
1) 2 1/3 - 2 5/6 = 2 2/6 - 2 5/6 = -3/6 = -1/2
2) -1/2 : 1 1/6 = -1/2 : 7/6 = -1/2 * 6/7 = -1/1 * 3/7 = -3/7
3) -3/7 + 5 3/14 = -6/14 + 5 3/14 = -6/14 + 4 17/14 = 4 11/14
№1052
1) 14/22 * 3/4 = 7/22 * 3/2 = 21/44
2) 21/44 : 3/5 = 21/44 * 5/3 = 7/44 * 5/1 = 35/44
3) 1/22 : 2/31 = 1/22 * 31/2 = 31/44
4) 35/44 - 31/44 = 4/44 = 1/11
5) 1/11 : 1/22 = 1/11 * 22/1 = 22/11 = 2
6) 3 * 2/5 = 6/5
7) 6 : 6/5 = 6 * 5/6 = 30/6 = 5
8) 2 + 5 = 7
1043.
[tex]2 \frac{1}{7} \times (3 + \frac{6}{5} ) \div \frac{3}{5} = \frac{15}{7} \times 3 \frac{6}{5} \times \frac{5}{3} = \frac{15 \times 21 \times 5}{7 \times 5 \times 3} = 15[/tex]
1044.
[tex](1 \div 0.3 - 2 \frac{1}{3} ) \times 2 \frac{1}{7} =( \frac{10}{3} - \frac{7}{3} ) \times 2 \frac{1}{7} = 1 \times 2 \frac{1}{ 7} = 2 \frac{1}{7}[/tex]
1045.
[tex](6 \frac{3}{4} + 5 \frac{1}{2} ) \div (26 \times \frac{7}{26} ) = (6 \frac{3}{4} + 5 \frac{2}{4} ) \div 7 = 11 \frac{5}{4} \div 7 = \\ = \frac{49}{4 \times 7} = \frac{7}{4} = 1 \frac{3}{4} = 1.75[/tex]
1046.
[tex](2 \frac{1}{3} - 2 \frac{5}{6} ) \div 1 \frac{1}{6} + 5 \frac{3}{14} = 4 \frac{11}{14} \\ 1) \: 2 \frac{1}{3} - 2 \frac{5}{6} = 2 \frac{2}{6} - 2 \frac{5}{6} = - \frac{3}{6} = - \frac{1}{2} \\ 2) \: - \frac{1}{2} \div 1 \frac{1}{6} = - \frac{6}{2 \times 7} = - \frac{3}{7} \\ 3) \: - \frac{3}{7} + 5 \frac{3}{14} = - \frac{6}{14} + 4 \frac{17}{14 } = 4 \frac{11}{14} [/tex]
1052.
[tex](( \frac{14}{22} \times \frac{3}{4} ) \div \frac{3}{5} - \frac{1}{22} \div \frac{2}{31} ) \div \frac{1}{22} + 6 \div (3 \times \frac{2}{5} ) =7 \\ 1) \: \frac{14}{22} \times \frac{3}{4} = \frac{21}{44} \\ 2) \: \frac{21}{44} \div \frac{3}{5} = \frac{21 \times 5}{44 \times 3} = \frac{35}{44} \\ 3) \: \frac{1}{22} \div \frac{2}{31} = \frac{31}{22 \times 2} = \frac{31}{44} \\ 4) \: \frac{35}{44} - \frac{31}{44} = \frac{4}{44} = \frac{1}{11} \\ 5) \: \frac{1}{11} \div \frac{1}{22} = \frac{22}{11} = 2 \\ 6) \: 3 \times \frac{2}{5} = \frac{6}{5} \\ 7) \: 6 \div \frac{6}{5} = \frac{6 \times 5}{6} = 5 \\ 8) \: 2 + 5 = 7[/tex]