Oblicz sprytnie: a) [latex] frac{1}{333}* frac{1}{8}+frac{1}{111}* frac{23}{24} [/latex] b) [latex] frac{7^{3}+7 }{7^{2}+1 } [/latex]

a) [latex]frac{1}{333}cdotfrac{1}{8}+frac{1}{111}cdotfrac{23}{24}=frac{1}{333}cdotfrac{1}{8}+frac{1}{111}cdotfrac{23}{3cdot 8}=frac{1}{333}cdotfrac{1}{8}+frac{1}{333}cdotfrac{23}{8}=frac{1+23}{333cdot 8}=frac{24}{8cdot 333}=frac{3}{333}=frac{1}{111}[/latex] b) [latex]frac{7^3+7}{7^2+1}=frac{7(7^2+1)}{7^2+1}=7[/latex]

1.Oblicz sprytnie       a) [latex]frac{1}{333} [/latex] x [latex]frac{1}{8}[/latex] + [latex]frac{1}{111}[/latex] x [latex]frac{23}{24}[/latex]      b) [latex]frac{7^{3}+7}{7^{2}+1}[/latex]  

1.Oblicz sprytnie       a) [latex]frac{1}{333} [/latex] x [latex]frac{1}{8}[/latex] + [latex]frac{1}{111}[/latex] x [latex]frac{23}{24}[/latex]      b) [latex]frac{7^{3}+7}{7^{2}+1}[/latex]  ...