Bài 2 trang 177 (Luyện tập chung trang 176, 177) SGK Toán 5

Tính bằng cách thuận tiện nhất:

\(a) \;\dfrac{{21}}{{11}} \times \dfrac{{22}}{{17}} \times \dfrac{{68}}{{63}} \)                                   \( b) \;\dfrac{5}{{14}} \times \dfrac{7}{{13}} \times \dfrac{{26}}{{25}} \) 

Lời giải

a)

\(\begin{array}{l}\dfrac{{21}}{{11}} \times \dfrac{{22}}{{17}} \times \dfrac{{68}}{{63}} = \dfrac{{21 \times 22 \times 68}}{{11 \times 17 \times 63}}\\= \dfrac{{21 \times 11 \times 2 \times 17 \times 4}}{{11 \times 17 \times 21 \times 3}}\\ = \dfrac{{2 \times 4}}{3} = \dfrac{8}{3}\end{array}\)

b)

\(\begin{array}{l}\dfrac{5}{{14}} \times \dfrac{7}{{13}} \times \dfrac{{26}}{{25}} = \dfrac{{5 \times 7 \times 26}}{{14 \times 13 \times 25}}\\ = \dfrac{{5 \times 7 \times 13 \times 2}}{{7 \times 2 \times 13 \times 5 \times 5}} = \dfrac{1}{5}\end{array}\)


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