Объясните,почему верны равенства: 1)1 3 2)4 8 - = - - = - 5 15 7 14 3)9 27 4)100 400 - = - - = - 10 30 122 488

1) 1/5=3/15 3/15==(1*3)/(5*3)=1/5, т.к. тройки сокращаются. 2) 8/14=(4*2)/(7*2)=4/7 3) 27/30=(9*3)/(10*3)=9/10 4) 400/488=(100*4)/(122*4)=100/122

[latex]1) \frac{1}{5} = \frac{3}{15} \\ \\ \frac{3}{15} =\frac{3/3}{15/3}= \frac{1}{5} \\ \\ \\ 2) \frac{4}{7} = \frac{8}{14} \\ \\ \frac{8}{14} = \frac{8/2}{14/2} = \frac{4}{7} [/latex] [latex]3) \frac{9}{10} = \frac{27}{30} \\ \\ \frac{27}{30} = \frac{27/3}{30/3} = \frac{9}{10} \\ \\ \\ 4) \frac{100}{122} = \frac{400}{488} \\ \\ \frac{400}{488} = \frac{400/4}{488/4} = \frac{100}{122} [/latex]