Są to zadania 6 i 7 strona 78 z podręcznika Matematyka wokół nas kl 3gim
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(drógi przykład jest piętrowy, piszę to gdyż w edytorze dziwnie to wygląda.
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1.![\frac{2}{3}*(\frac{1}{2}-\frac{11}{3}*\frac{3}{2}):\frac{2}{5}=\frac{2}{3}*(\frac{1}{2}-\frac{11}{2}):\frac{2}{5}=\frac{2}{3}*(-\frac{10}{2})*\frac{5}{2}=-\frac{10}{3}*\frac{5}{2} =-\frac{25}{3} \frac{2}{3}*(\frac{1}{2}-\frac{11}{3}*\frac{3}{2}):\frac{2}{5}=\frac{2}{3}*(\frac{1}{2}-\frac{11}{2}):\frac{2}{5}=\frac{2}{3}*(-\frac{10}{2})*\frac{5}{2}=-\frac{10}{3}*\frac{5}{2} =-\frac{25}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B3%7D%2A%28%5Cfrac%7B1%7D%7B2%7D-%5Cfrac%7B11%7D%7B3%7D%2A%5Cfrac%7B3%7D%7B2%7D%29%3A%5Cfrac%7B2%7D%7B5%7D%3D%5Cfrac%7B2%7D%7B3%7D%2A%28%5Cfrac%7B1%7D%7B2%7D-%5Cfrac%7B11%7D%7B2%7D%29%3A%5Cfrac%7B2%7D%7B5%7D%3D%5Cfrac%7B2%7D%7B3%7D%2A%28-%5Cfrac%7B10%7D%7B2%7D%29%2A%5Cfrac%7B5%7D%7B2%7D%3D-%5Cfrac%7B10%7D%7B3%7D%2A%5Cfrac%7B5%7D%7B2%7D+%3D-%5Cfrac%7B25%7D%7B3%7D)
2.![\frac{\frac{18}{5}+\frac{18}{10}*\frac{10}{9}}{\frac{5}{2}-\frac{21}{10}:\frac{42}{5}*2}=\frac{\frac{18}{5}+2}{\frac{5}{2}-\frac{21}{10}*\frac{5}{42}*2}=\frac{\frac{28}{5}}{\frac{5}{2}-\frac{1}{2}}=\frac{28}{5}*\frac{1}{2}=\frac{14}{5} \frac{\frac{18}{5}+\frac{18}{10}*\frac{10}{9}}{\frac{5}{2}-\frac{21}{10}:\frac{42}{5}*2}=\frac{\frac{18}{5}+2}{\frac{5}{2}-\frac{21}{10}*\frac{5}{42}*2}=\frac{\frac{28}{5}}{\frac{5}{2}-\frac{1}{2}}=\frac{28}{5}*\frac{1}{2}=\frac{14}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B18%7D%7B5%7D%2B%5Cfrac%7B18%7D%7B10%7D%2A%5Cfrac%7B10%7D%7B9%7D%7D%7B%5Cfrac%7B5%7D%7B2%7D-%5Cfrac%7B21%7D%7B10%7D%3A%5Cfrac%7B42%7D%7B5%7D%2A2%7D%3D%5Cfrac%7B%5Cfrac%7B18%7D%7B5%7D%2B2%7D%7B%5Cfrac%7B5%7D%7B2%7D-%5Cfrac%7B21%7D%7B10%7D%2A%5Cfrac%7B5%7D%7B42%7D%2A2%7D%3D%5Cfrac%7B%5Cfrac%7B28%7D%7B5%7D%7D%7B%5Cfrac%7B5%7D%7B2%7D-%5Cfrac%7B1%7D%7B2%7D%7D%3D%5Cfrac%7B28%7D%7B5%7D%2A%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B14%7D%7B5%7D)
1)2/3·(1/√4-3⅔·1,5):√4/25=2/3·(1/2-11/3·3/2):2/5=2/3·(1/2-11/2):2/5=2/3·(-5)·5/2=-25/3=-8¹/₃
2)
jesli drugi przykad jest pietrowy to oznacza ze w liczniku jest :
3³/₅+1,8·3⅓=3,6+18/10·10/3 =3,6+18/3=3,6+6=9,6
w mianowniku jest :
3)√6,25-2,1:8²/₅·2 =2,5- 2,1:8,4·2=2,5-0,25·2=2,5-0,5=2
zatem 9,6/2=4,8