Предмет: Математика, автор: kami1982kami

Сократите дроби и приведите их к наименьшему общему знаменателю:

1) 18/30 и 15/18
2) 28/40 и 10/45
3) 49/105 и 27/36
4) 60/90 и 15/50
5) 10/20, 8/24 и 9/45
6) 22/44, 24/30 и 27/36

Ответы

Автор ответа: DariosI

18/30 и 15/18,
$frac{15}{18}= frac{3*5}{6*3}= frac{5}{6} = frac{5*5}{6*5}= frac{25}{30} \ \ frac{25}{30} u frac{18}{30}$

28/40 И 10/45 ,
$frac{28}{40}= frac{4*7}{4*10}= frac{7}{10}= frac{7}{5*2} = frac{7*9}{5*2*9} = frac{63}{90} \ \ frac{10}{45}= frac{5*2}{9*5}= frac{5*2*2}{9*5*2} = frac{20}{90} \ \ frac{63}{90} u frac{20}{90}$

49/105 И 27/36,
$frac{49}{105}= frac{7*7}{5*3*7}= frac{7}{5*3} = frac{7*4}{5*3*4} = frac{28}{60} \ \ frac{27}{36}= frac{9*3}{4*3*3} = frac{9}{4*3} = frac{9*5}{4*3*5} = frac{45}{60} \ \ frac{28}{60} u frac{45}{60}$

60/90 И 15/50 ,
$frac{60}{90} =frac{3*2*10}{3*3*10}= frac{2*10}{3*10}= frac{20}{30} \ \ frac{15}{50}= frac{5*3}{5*10}= frac{3}{10}= frac{3*3}{10*3}= frac{9}{30} \ \ frac{20}{30} u frac{9}{30}$

10/20 8 /24 И 9/45
$frac{10}{20} = frac{10}{2*10}= frac{1}{2} = frac{5*3}{5*3*2} = frac{15}{30} \ \ frac{8}{24}= frac{8}{3*8}= frac{1}{3} = frac{5*2}{5*2*3}= frac{10}{30} \ \ frac{9}{45} = frac{9}{9*5}= frac{1}{5} = frac{2*3}{5*2*3}= frac{6}{30} \ \ frac{15}{30} u frac{10}{30} u frac{6}{30}$

,22/44 24/30 И 27/36.
$frac{22}{44}= frac{11*2}{11*4}= frac{2}{4} = frac{2*5}{4*5} = frac{10}{20} \ \ frac{24}{30} = frac{6*4}{6*5} = frac{4}{5}= frac{4*4}{5*4}= frac{16}{20} \ \ frac{27}{36}= frac{9*3}{9*4}= frac{3}{4}= frac{3*5}{4*5}= frac{15}{20}$
$frac{10}{20} u frac{16}{20} u frac{15}{20}$