Ułamki, oblicz.

a)
[tex] \frac{0.216}{0.15} - \frac{1.96}{1.75} - \frac{0.88}{2.75} [/tex]
b)
[tex]( \frac{0.15}{0.216} + \frac{1.75}{1.5} ) \div 11 \frac{1}{6} [/tex]
w a wynik ma być 0, w b 1/6. chodzi o Obliczenia! ​


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Zobacz obrazek Emilka921

[tex]a)\\\\\frac{ 0,216}{0,15} -\frac{1,96}{1,75} -\frac{ 0,88}{2,75} =\frac{ \frac{216}{1000}}{ \frac{15}{100}} -\frac{\frac{196}{100}}{\frac{175}{100}} -\frac{ \frac{88}{100}}{\frac{275}{100}} =\\\\\\=\frac{216}{1000}:\frac{15}{100}-\frac{196}{100}:\frac{175}{100}-\frac{88}{100}:\frac{275}{100}=\\\\\\=\frac{\not{216}^{72}}{\not{1000}^{10}}*\frac{\not{100}^1}{\not{15}^5}-\frac{196}{\not{100}^1}*\frac{\not{100}^1}{175}-\frac{88}{\not{100}^1}*\frac{\not{100}^1}{275}=\frac{72}{50} -\frac{196}{175} - \frac{88}{275}=\\\\\\=\frac{5544}{3850} -\frac{4312}{3850} - \frac{1232}{3850}=\frac{5544}{3850} -\frac{5544}{3850}=0[/tex]

[tex]b)\\\\(\frac{0,15}{0,216}+\frac{1,75}{1,5 }):11\frac{1}{6}=(\frac{ \frac{15}{100}}{ \frac{216}{1000}}+\frac{\frac{175}{100}}{\frac{15}{10} }): \frac{67}{6}=(\frac{15}{100}:\frac{216}{1000}+\frac{175}{100}:\frac{15}{10})*\frac{6}{67}=\\\\\\=(\frac{15}{\not{100}^1}*\frac{\not{1000}^{10}}{216}+\frac{\not{175} ^{35}}{\not{100}^{10}}*\frac{\not{10 }^1}{\not{15}^3})*\frac{6}{67}= (\frac{150}{216}+\frac{35}{30}) *\frac{6}{67}=\\\\\\= (\frac{25}{36}+\frac{7}{6}) *\frac{6}{67}= (\frac{25}{36}+\frac{42}{36}) *\frac{6}{67} =\frac{\not{67}^1}{\not{36}^6}*\frac{\not{6 }^1}{\not{67}^1}= \frac{1}{6}[/tex]