1,tính a) \(1\frac{5}{7}\)     x    \(\frac{3}{4}\)                                                                b) \(\frac{10}{11}\)     :  \(1\frac{1}{3}\) c) 3,57 x 4,1 + 2,43 x 4,1                                                    d) 3,42 : 0,57 x 8,4 - 6,8 2, tính bằng cách thuận tiện nhất  a) \(\frac{21}{11}\)  x \(\frac{22}{17}\)  x \(\frac{68}{63}\)                                                           b) \(\frac{5}{14}\)  x \(\frac{7}{13}\)  x \(\frac{26}{25}\)    AI NHANH NHẤT  +  ĐÚNG NHẤT = LIKE
Mọi người ơi, mình đang rối bời không biết làm thế nào ở đây. Bạn nào đi qua cho mình xin ít hint với!

Phương pháp giải:

1.a) \(1\frac{5}{7} \times \frac{3}{4} = (1 + \frac{5}{7}) \times \frac{3}{4} = \frac{12}{7} \times \frac{3}{4} = \frac{36}{28} = \frac{9}{7}\)

1.b) \(\frac{10}{11} : 1\frac{1}{3} = \frac{10}{11} : \frac{4}{3} = \frac{10}{11} \times \frac{3}{4} = \frac{30}{44} = \frac{15}{22}\)

1.c) \(3,57 \times 4,1 + 2,43 \times 4,1 = 14,677 + 9,963 = 24,64\)

1.d) \(3,42 : 0,57 \times 8,4 - 6,8 = 6 \times 8,4 - 6,8 = 50,4 - 6,8 = 43,6\)

2.a) \(\frac{21}{11} \times \frac{22}{17} \times \frac{68}{63} = \frac{3 \times 2 \times 4}{11} = \frac{24}{11}\)

2.b) \(\frac{5}{14} \times \frac{7}{13} \times \frac{26}{25} = \frac{5 \times 7 \times 26}{14 \times 13 \times 25} = \frac{910}{4550} = \frac{7}{35} = \frac{1}{5}\)

Vậy:
1.a) \(1\frac{5}{7} \times \frac{3}{4} = \frac{9}{7}\)
1.b) \(\frac{10}{11} : 1\frac{1}{3} = \frac{15}{22}\)
1.c) \(3,57 \times 4,1 + 2,43 \times 4,1 = 24,64\)
1.d) \(3,42 : 0,57 \times 8,4 - 6,8 = 43,6\)
2.a) \(\frac{21}{11} \times \frac{22}{17} \times \frac{68}{63} = \frac{24}{11}\)
2.b) \(\frac{5}{14} \times \frac{7}{13} \times \frac{26}{25} = \frac{1}{5}\)

{
"content1": {
"a": "a) \(1\frac{5}{7} \times \frac{3}{4} = \frac{12}{7} \times \frac{3}{4} = \frac{36}{28} = 1\frac{8}{28} = 1\frac{2}{7}\)",
"b": "b) \(\frac{10}{11} : 1\frac{1}{3} = \frac{10}{11} : \frac{4}{3} = \frac{30}{44} = \frac{15}{22} = 0.\overline{68}\)",
"c": "c) \(3,57 \times 4,1 + 2,43 \times 4,1 = 14.637 + 9.963 = 24.6\)",
"d": "d) \(3,42 : 0,57 \times 8,4 - 6,8 = 6 \times 8,4 - 6,8 = 50.4 - 6,8 = 43.6\)"
},
"content2": {
"a": "a) \(1\frac{5}{7} \times \frac{3}{4} = \frac{12}{7} \times \frac{3}{4} = \frac{36}{28} = 1\frac{8}{28} = 1\frac{2}{7}\)",
"b": "b) \(\frac{10}{11} : 1\frac{1}{3} = \frac{10}{11} : \frac{4}{3} = \frac{30}{44} = \frac{15}{22} = 0.\overline{68}\)",
"c": "c) \(3,57 \times 4,1 + 2,43 \times 4,1 = 14.637 + 9.963 = 24.6\)",
"d": "d) \(3,42 : 0,57 \times 8,4 - 6,8 = 6 \times 8,4 - 6,8 = 50.4 - 6,8 = 43.6\)"
},
"content3": {
"a": "a) \(1\frac{5}{7} \times \frac{3}{4} = \frac{12}{7} \times \frac{3}{4} = \frac{36}{28} = 1\frac{8}{28} = 1\frac{2}{7}\)",
"b": "b) \(\frac{10}{11} : 1\frac{1}{3} = \frac{10}{11} : \frac{4}{3} = \frac{30}{44} = \frac{15}{22} = 0.\overline{68}\)",
"c": "c) \(3,57 \times 4,1 + 2,43 \times 4,1 = 14.637 + 9.963 = 24.6\)",
"d": "d) \(3,42 : 0,57 \times 8,4 - 6,8 = 6 \times 8,4 - 6,8 = 50.4 - 6,8 = 43.6\)"
},
"content4": {
"a": "a) \(1\frac{5}{7} \times \frac{3}{4} = \frac{12}{7} \times \frac{3}{4} = \frac{36}{28} = 1\frac{8}{28} = 1\frac{2}{7}\)",
"b": "b) \(\frac{10}{11} : 1\frac{1}{3} = \frac{10}{11} : \frac{4}{3} = \frac{30}{44} = \frac{15}{22} = 0.\overline{68}\)",
"c": "c) \(3,57 \times 4,1 + 2,43 \times 4,1 = 14.637 + 9.963 = 24.6\)",
"d": "d) \(3,42 : 0,57 \times 8,4 - 6,8 = 6 \times 8,4 - 6,8 = 50.4 - 6,8 = 43.6\)"
},
"content5": {
"a": "a) \(1\frac{5}{7} \times \frac{3}{4} = \frac{12}{7} \times \frac{3}{4} = \frac{36}{28} = 1\frac{8}{28} = 1\frac{2}{7}\)",
"b": "b) \(\frac{10}{11} : 1\frac{1}{3} = \frac{10}{11} : \frac{4}{3} = \frac{30}{44} = \frac{15}{22} = 0.\overline{68}\)",
"c": "c) \(3,57 \times 4,1 + 2,43 \times 4,1 = 14.637 + 9.963 = 24.6\)",
"d": "d) \(3,42 : 0,57 \times 8,4 - 6,8 = 6 \times 8,4 - 6,8 = 50.4 - 6,8 = 43.6\)"
}
}