Question

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

Answer 1

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