Question

Сократите 1)17*5/20*34; 2) 36*9/15*30; 3) 7*6*11/33*21*30; 4) 19*9+19*6/19*70-19*25.

Answer 1

$1) frac{17*5}{20*34}= frac{17*5}{5*4*17*2}= frac{1}{8} \ \ 2)frac{36*9}{15*30}= frac{2*3*6*3*3}{5*3*3*2*5}= frac{6*3}{5*5}= frac{18}{25}=0,72 \ \ 3) frac{7*6*11}{33*21*30}= frac{7*3*2*11}{3*11*7*3*30}= frac{1}{3*15}= frac{1}{45} \ \ 4)frac{19*9+19*6}{19*70-19*25} = frac{19(9+6)}{19(70-25)}= frac{15}{45}= frac{1}{3}$