Question

b) [0,25 +0,2(7)]: 6, (3) =
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Answer 1

$[0,25 +0,2(7)]: 6, (3) =$

$[\frac{1}{4}+ \frac{27 - 2 }{90} ] : \frac{63 - 6 }{99} =$

$[\frac{1}{4}+ \frac{25 }{90} ] : \frac{57 }{99} =$

$\frac{25}{90} = \frac{5}{18}$

$\left[\frac{1}{4}+\frac{5}{18}\right]\div \frac{57}{99}=$

$\frac{57}{99} = \frac{19}{33}$

$\left[\frac{1}{4}+\frac{5}{18}\right]\div \frac{19}{33} =$

$\frac{1}{4}+\frac{5}{18} =\frac{9}{36}+\frac{10}{36} =\frac{9+10}{36} =\frac{19}{36}$

$\frac{19}{36}\div \frac{19}{33} = \frac{19}{36}\cdot \frac{33}{19} = \frac{19\cdot \:33}{36\cdot \:19} = \frac{33}{36} =\frac{11}{12}$