=(3 3/6+5 2/6):9/4=8 5/6:9/4=53/6*4/9=106/27 =15/4*6/5+(-3/2):12/5-1/4=9/2+(-3/2)*5/12-1/4= =9/2-5/8-1/4=36/8-5/8-2/8=29/8 =(1 1/2-3*4/3):5/2=(1 1/2-4):5/2=-2 1/2*2/5=-5/2*2/5=-1
[latex](3 frac{1}{2} +5 frac{1}{3}):2frac{1}{4}=\\ =(3 frac{1*3}{2*3} +5 frac{1*2}{3*2}):2frac{1}{4}=\\ =(3 frac{3}{6} +5 frac{2}{6}):2frac{1}{4}=\\ =8 frac{5}{6} :2frac{1}{4}=\\ =frac{53}{6:2}cdotfrac{4:2}{9}=\\ =frac{53cdot2}{3cdot9}=frac{106}{27}=3frac{25}{27}[/latex] [latex]3frac{3}{4}*1frac{1}{5}+(-1frac{1}{2}):2frac{2}{5}-frac{1}{4}=\\ =frac{15:5}{4:2}cdotfrac{6:2}{5:5}+(-frac{3:3}{2})cdotfrac{5}{12:3}-frac{1}{4}=\\ =frac{3cdot3}{2cdot1}+(-frac{1cdot5}{2cdot4})-frac{1}{4}=\\ =frac{9*4}{2*4}-frac{5}{8}-frac{1*2}{4*2}=\\ =frac{36}{8}-frac{5}{8}-frac{2}{8}=\\ =frac{36-5-2}{8}=frac{29}{8}=3frac{4}{8}=3frac{1}{2}[/latex] [latex](1frac{1}{2}-3*1frac{1}{3}):2frac{1}{2}=\\ =(frac{3}{2}-3*frac{4}{3}):frac{5}{2}=\\ =(frac{3}{2}-4):frac{5}{2}=\\ =(frac{3}{2}-frac{8}{2}):frac{5}{2}=\\ =-frac{5:5}{2:2}*frac{2:2}{5:5}=\\ =-1 [/latex] Pozdrawiam:)
