Ответ:
Пошаговое объяснение:
0,(3)=0,33333.....
0,(3)=
0,2(5)=
1,5(3)=
Итог тт
а)
0,(7)=
0,(09)=
б)
0,4(1)=
0,3(5)=
0,(5)=
v)
0,(6)=
0,12(3)=
g)
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Answers & Comments
Ответ:
Пошаговое объяснение:
0,(3)=0,33333.....
0,(3)=![\frac{3-0}{9} =\frac{1}{3} \frac{3-0}{9} =\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B3-0%7D%7B9%7D%20%3D%5Cfrac%7B1%7D%7B3%7D)
0,2(5)=![\frac{25-2}{90}=\frac{23}{90} \frac{25-2}{90}=\frac{23}{90}](https://tex.z-dn.net/?f=%5Cfrac%7B25-2%7D%7B90%7D%3D%5Cfrac%7B23%7D%7B90%7D)
1,5(3)=![\frac{153-15}{90} =\frac{138}{90} \frac{153-15}{90} =\frac{138}{90}](https://tex.z-dn.net/?f=%5Cfrac%7B153-15%7D%7B90%7D%20%3D%5Cfrac%7B138%7D%7B90%7D)
Итог тт
а)![\frac{(\frac{1}{3}+\frac{1}{6})*4 }{\frac{23}{90}:\frac{138}{90}} =\frac{2}{\frac{23}{138}}=\frac{2}{\frac{1}{6}}=12 \frac{(\frac{1}{3}+\frac{1}{6})*4 }{\frac{23}{90}:\frac{138}{90}} =\frac{2}{\frac{23}{138}}=\frac{2}{\frac{1}{6}}=12](https://tex.z-dn.net/?f=%5Cfrac%7B%28%5Cfrac%7B1%7D%7B3%7D%2B%5Cfrac%7B1%7D%7B6%7D%29%2A4%20%7D%7B%5Cfrac%7B23%7D%7B90%7D%3A%5Cfrac%7B138%7D%7B90%7D%7D%20%3D%5Cfrac%7B2%7D%7B%5Cfrac%7B23%7D%7B138%7D%7D%3D%5Cfrac%7B2%7D%7B%5Cfrac%7B1%7D%7B6%7D%7D%3D12)
0,(7)=![\frac{7}{9} \frac{7}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B9%7D)
0,(09)=![\frac{9}{99} =\frac{1}{11} \frac{9}{99} =\frac{1}{11}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B99%7D%20%3D%5Cfrac%7B1%7D%7B11%7D)
б)![\frac{\frac{7}{9}+\frac{1}{11} }{\frac{74}{10}-\frac{42}{5}}+ \frac{73}{10}:\frac{219}{10}=\frac{\frac{86}{99}}{-1}}+\frac{1}{3}=-\frac{86}{99}+\frac{33}{99}=-\frac{53}{99} \frac{\frac{7}{9}+\frac{1}{11} }{\frac{74}{10}-\frac{42}{5}}+ \frac{73}{10}:\frac{219}{10}=\frac{\frac{86}{99}}{-1}}+\frac{1}{3}=-\frac{86}{99}+\frac{33}{99}=-\frac{53}{99}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B7%7D%7B9%7D%2B%5Cfrac%7B1%7D%7B11%7D%20%7D%7B%5Cfrac%7B74%7D%7B10%7D-%5Cfrac%7B42%7D%7B5%7D%7D%2B%20%5Cfrac%7B73%7D%7B10%7D%3A%5Cfrac%7B219%7D%7B10%7D%3D%5Cfrac%7B%5Cfrac%7B86%7D%7B99%7D%7D%7B-1%7D%7D%2B%5Cfrac%7B1%7D%7B3%7D%3D-%5Cfrac%7B86%7D%7B99%7D%2B%5Cfrac%7B33%7D%7B99%7D%3D-%5Cfrac%7B53%7D%7B99%7D)
0,4(1)=![\frac{41-4}{90}=\frac{37}{90} \frac{41-4}{90}=\frac{37}{90}](https://tex.z-dn.net/?f=%5Cfrac%7B41-4%7D%7B90%7D%3D%5Cfrac%7B37%7D%7B90%7D)
0,3(5)=![\frac{35-3}{90} =\frac{32}{90} \frac{35-3}{90} =\frac{32}{90}](https://tex.z-dn.net/?f=%5Cfrac%7B35-3%7D%7B90%7D%20%3D%5Cfrac%7B32%7D%7B90%7D)
0,(5)=![\frac{5}{9} \frac{5}{9}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B9%7D)
v)![\frac{(\frac{37}{90}+\frac{1}{9})\frac{9}{47} }{\frac{32}{90}:\frac{5}{9} :32} =\frac{\frac{1}{10} }{\frac{1}{50}} =5 \frac{(\frac{37}{90}+\frac{1}{9})\frac{9}{47} }{\frac{32}{90}:\frac{5}{9} :32} =\frac{\frac{1}{10} }{\frac{1}{50}} =5](https://tex.z-dn.net/?f=%5Cfrac%7B%28%5Cfrac%7B37%7D%7B90%7D%2B%5Cfrac%7B1%7D%7B9%7D%29%5Cfrac%7B9%7D%7B47%7D%20%7D%7B%5Cfrac%7B32%7D%7B90%7D%3A%5Cfrac%7B5%7D%7B9%7D%20%3A32%7D%20%3D%5Cfrac%7B%5Cfrac%7B1%7D%7B10%7D%20%7D%7B%5Cfrac%7B1%7D%7B50%7D%7D%20%3D5)
0,(6)=![\frac{6}{9}=\frac{2}{3} \frac{6}{9}=\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B9%7D%3D%5Cfrac%7B2%7D%7B3%7D)
0,12(3)=![\frac{123-12}{900} =\frac{111}{900} \frac{123-12}{900} =\frac{111}{900}](https://tex.z-dn.net/?f=%5Cfrac%7B123-12%7D%7B900%7D%20%3D%5Cfrac%7B111%7D%7B900%7D)
g)![\frac{(\frac{2}{3}+\frac{1}{3}):0,25 }{\frac{111}{900}:\frac{925}{10000}}+\frac{125}{10}*\frac{64}{100}=\frac{4}{\frac{11100}{8325}} +8=\frac{4}{\frac{12}{9}}+8=3+8=11 \frac{(\frac{2}{3}+\frac{1}{3}):0,25 }{\frac{111}{900}:\frac{925}{10000}}+\frac{125}{10}*\frac{64}{100}=\frac{4}{\frac{11100}{8325}} +8=\frac{4}{\frac{12}{9}}+8=3+8=11](https://tex.z-dn.net/?f=%5Cfrac%7B%28%5Cfrac%7B2%7D%7B3%7D%2B%5Cfrac%7B1%7D%7B3%7D%29%3A0%2C25%20%7D%7B%5Cfrac%7B111%7D%7B900%7D%3A%5Cfrac%7B925%7D%7B10000%7D%7D%2B%5Cfrac%7B125%7D%7B10%7D%2A%5Cfrac%7B64%7D%7B100%7D%3D%5Cfrac%7B4%7D%7B%5Cfrac%7B11100%7D%7B8325%7D%7D%20%2B8%3D%5Cfrac%7B4%7D%7B%5Cfrac%7B12%7D%7B9%7D%7D%2B8%3D3%2B8%3D11)