Bài 2 trang 14 (Luyện tập) SGK Toán 5

So sánh các hỗn số:

a) \(3\dfrac{9}{{10}}\) và \(2\dfrac{9}{{10}} ;\)

b) \(3\dfrac{4}{{10}}\) và \(3\dfrac{9}{{10}};\)

c) \(5\dfrac{1}{{10}}\) và \(2\dfrac{9}{{10}} ;\)

d) \(3\dfrac{4}{{10}}\) và \(3\dfrac{2}{5} .\)

Lời giải

a) \(3\dfrac{9}{{10}} = \dfrac{{39}}{{10}}\;;\;\;2\dfrac{9}{{10}} = \dfrac{{29}}{{10}}.\)  Mà \(\dfrac{{39}}{{10}} > {\rm{ }}\dfrac{{29}}{{10}}\)

Vậy : \(3\dfrac{9}{{10}} > {\rm{ }}2\dfrac{9}{{10}}\)

b) \(3\dfrac{4}{{10}} = \dfrac{{34}}{{10}}\;;\;\;3\dfrac{9}{{10}} = \dfrac{{39}}{{10}}.\)  Mà \(\dfrac{{34}}{{10}} < \dfrac{{39}}{{10}}\)

Vậy : \(3\dfrac{4}{{10}} < {\rm{ }}3\dfrac{9}{{10}}\)

c) \(5\dfrac{1}{{10}} = \dfrac{{51}}{{10}}\;;\;\;2\dfrac{9}{{10}} = \dfrac{{29}}{{10}}.\)  Mà \(\dfrac{{51}}{{10}} > {\rm{ }}\dfrac{{29}}{{10}}\)

Vậy : \(5\dfrac{1}{{10}} > {\rm{ }}2\dfrac{9}{{10}}\).

d) \(3\dfrac{4}{{10}} = \dfrac{{34}}{{10}} = \dfrac{{17}}{5}\;;\;\;3\dfrac{2}{5} = \dfrac{{17}}{5}\).   Mà \(\dfrac{{17}}{5} = \dfrac{{17}}{5}\)

Vậy : \(3\dfrac{4}{{10}} = {\rm{ }}3\dfrac{2}{5}\)


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