Bài 2 trang 160 (Luyện tập) SGK Toán 5

Tính bằng cách thuận tiện nhất:

a) \(\dfrac{7}{11} + \dfrac{3}{4} + \dfrac{4}{11} + \dfrac{1}{4};\)

b) \(\dfrac{72}{99} - \dfrac{28}{99} - \dfrac{14}{99};\)

c) \(69,78 + 35,97 +30,22;\)

d) \(83,45 - 30,98 - 42,47.\)

Lời giải

a)  \(\dfrac{7}{11} + \dfrac{3}{4} + \dfrac{4}{11} + \dfrac{1}{4}\)

     \(  = \left( \dfrac{7}{11}  + \dfrac{4}{11}\right) + \left(\dfrac{3}{4} + \dfrac{1}{4}\right)\)

     \(= \dfrac{11}{11} +  \dfrac{4}{4} = 1 + 1 =2\)

b) \(\dfrac{72}{99} - \dfrac{28}{99} - \dfrac{14}{99}\) 

     \(  =  \dfrac{72}{99} - \left(\dfrac{28}{99} +\dfrac{14}{99}\right)\) 

     \(= \dfrac{72}{99} - \dfrac{42}{99} = \dfrac{30}{99} = \dfrac{10}{33}\)

c) \(69,78 + 35,97 +30,22 \) 

     \(= (69,78 + 30,22) + 35,97 \)

     \(= 100 + 35,97 = 135,97\)

d) \(83,45 - 30,98 - 42,47 \)

     \(= 83,45 - (30,98 + 42,47) \)

     \(= 83,45 - 73,45 = 10\)


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