Bài 4 trang 150 SGK Toán 5

So sánh các phân số:

a) \(\dfrac{3}{7}\) và \(\dfrac{2}{5}\);              b) \(\dfrac{5}{9}\) và \(\dfrac{5}{8}\);               c) \(\dfrac{8}{7}\) và \(\dfrac{7}{8}\).

Lời giải

a) Ta có: \(\dfrac{3}{7}=\dfrac{3 \times 5}{7 \times 5}=\dfrac{15}{35}\);             \(\dfrac{2}{5}=\dfrac{2 \times 7}{5 \times 7}= \dfrac{14}{35}\).

Vì \(\dfrac{15}{35}>\dfrac{14}{35}\)  nên  \(\dfrac{3}{7}>\dfrac{2}{5}\).

b) Ta có \(\dfrac{5}{9}<\dfrac{5}{8}\) (vì \(9>8\)).

c) \(\dfrac{8}{7}=\dfrac{8 \times 8}{7 \times 8}=\dfrac{64}{56}\);               \(\dfrac{7}{8}=\dfrac{7 \times 7}{8 \times7}=\dfrac{49}{56}\).

Vì \(\dfrac{64}{56}>\dfrac{49}{56}\)  nên  \(\dfrac{8}{7}>\dfrac{7}{8}\).

Cách khác: Vì \(\dfrac{8}{7}> 1 \) ;  \(\dfrac{7}{8}< 1\) nên \(\dfrac{8}{7}\)  >  \(\dfrac{7}{8}\). 


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