Bài 4 trang 164 SGK Toán 5

Tính bằng hai cách:

a) \(\dfrac{7}{11}: \dfrac{3}{5} + \dfrac{4}{11} : \dfrac{3}{5}\) ;                     

b) \((6,24 + 1,26) : 0,75\).

Lời giải

a) Cách 1: 

\(\dfrac{7}{11}\) \(:\dfrac{3}{5}\) \(+ \dfrac{4}{11}\) \(: \dfrac{3}{5}\)

\(= \dfrac{7}{11}  \times \dfrac{5}{3}+ \dfrac{4}{11}  \times \dfrac{5}{3}\)

\(= \dfrac{35}{33}+ \dfrac{20}{33}\) 

\(=\dfrac{55}{33}= \dfrac{5}{3}\)

Cách 2: 

\(\dfrac{7}{11}: \dfrac{3}{5}+ \dfrac{4}{11} :\dfrac{3}{5}\) 

\(= \left( \dfrac{7}{11}  + \dfrac{4}{11} \right )  : \dfrac{3}{5}\) 

\(= \dfrac{11}{11} : \dfrac{3}{5}\) 

 \(= 1: \dfrac{3}{5} = \dfrac{5}{3}\) 

b) Cách 1 : 

 \( (6,24 + 1,26) : 0,75\)

\(= 7,5 : 0,75 = 10 \)

Cách 2: 

\( (6,24 + 1,26) : 0,75  \)

\(=  6,24 : 0,75 + 1,26 : 0,75 \)

\(= 8,32 + 1,68 = 10 \).


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