Question

!!! СРОЧНО!!! Сравните дроби:
1/6 и 4/21
13/18 и 11/15
17/125 и 23/165
19/77 и 43/176

Answer 1

Чтобы сравнить дроби, их нужно привести к общему знаменателю.

$\displaystyle\\\frac{1}{6} <\frac{4}{21}\\\\\\\frac{1*7}{6*7}<\frac{4*2}{21*2}\\\\\\\frac{7}{42}<\frac{8}{42}$

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$\displaystyle\\\frac{13}{18}<\frac{11}{15}\\\\\\\frac{13*5}{18*5}<\frac{11*6}{15*6}\\\\\\\frac{65}{90}<\frac{66}{90}$

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$\displaystyle\\\frac{17}{125}<\frac{23}{165}\\\\\\\frac{17*33}{125*33}<\frac{23*25}{165*25}\\\\\\\frac{561}{4125}<\frac{575}{4125}$

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$\displaystyle\\\frac{19}{77}>\frac{43}{176}\\\\\\\frac{19*16}{77*16}>\frac{43*7}{176*7}\\\\\\\frac{304}{1232}>\frac{301}{1232}$