Bài 1 trang 176 (Luyện tập chung trang 176, 177) SGK Toán 5

Tính 

a) \(1\dfrac{5}{7} \times \dfrac{3}{4};\)

b) \(\dfrac{{10}}{{11}}:1\dfrac{1}{3};\)

c) \(3,57 \times 4,1 + 2,43 \times 4,1;\)

d) \(3,42 : 0,57 \times 8,4 - 6,8.\)

Lời giải

a) \(1\dfrac{5}{7} \times \dfrac{3}{4} = \dfrac{{12}}{7} \times \dfrac{3}{4} = \dfrac{{12 \times 3}}{{7 \times 4}}\) \( = \dfrac{{4 \times 3 \times 3}}{{7 \times 4}} = \dfrac{9}{7};\)

b) \(\dfrac{{10}}{{11}}:1\dfrac{1}{3} = \dfrac{{10}}{{11}}:\dfrac{4}{3} = \dfrac{{10}}{{11}} \times \dfrac{3}{4}\) \( = \dfrac{{10 \times 3}}{{11 \times 4}} = \dfrac{{5 \times 2 \times 3}}{{11 \times 2 \times 2}} = \dfrac{{15}}{{22}};\)

c) \(3,57 \times 4,1 + 2,43  \times 4,1\)    

    \(= (3,57 + 2,43)  \times 4,1 \)     

    \(= 6  \times 4,1 \)              

    \(= 24,6 \)

d) \(3,42 : 0,57  \times 8,4 - 6,8\)

    \(= 6  \times 8,4 - 6, 8\)

    \(=  50,4 - 6,8\)

    \(=  \;43,6\)


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