Question

Выполните деление: 1) 3/7÷5/6 2)3/14÷2/21 3)7/16÷42/43 4)3/4÷21/40 5)9/25÷27/50 6)45/56÷63/64 7)2/3÷1/6 8)65/98÷26/49 !

Answer 1

$1) \frac{3}{7} : \frac{5}{6} = \frac{3}{7} * \frac{6}{5} = \frac{18}{35} \\ \\ 2) \frac{3}{14} : \frac{2}{21} = \frac{3*21}{14*2} = \frac{3*3}{2*2} = \frac{9}{4} =2.25 \\ \\ 3) \frac{7}{16} : \frac{42}{43} = \frac{7*43}{16*42} = \frac{1*43}{16*6} = \frac{43}{96} \\ \\ 4) \frac{3}{4} : \frac{21}{40} = \frac{3*40}{4*21} = \frac{1*10}{1*7} = \frac{10}{7} =1 \frac{3}{7} \\ \\$

$5) \frac{9}{25} : \frac{27}{50} = \frac{9*50}{25*27} = \frac{1*2}{1*3} = \frac{2}{3} \\ \\ 6) \frac{45}{56} : \frac{63}{64} = \frac{45*64}{56*63} = \frac{5*8}{7*7} = \frac{40}{49} \\ \\ 7) \frac{2}{3} : \frac{1}{6} = \frac{2*6}{3} =2*2=4 \\ \\ 8) \frac{65}{98} : \frac{26}{49} = \frac{65*49}{98*26} = \frac{65}{2*26} = \frac{65}{52} =1.25$