Question

[1,25+1,(6)] : 1,1(6)​

Answer 1

Explicație pas cu pas:

$1.25 = \frac{125}{100} {}^{(5} = \frac{25}{20} {}^{(5} = \frac{5}{4}$

$1.(6) = \frac{16 - 1}{9} = \frac{15}{9} {}^{(3} = \frac{5}{3}$

$1.1(6) = \frac{116 - 11}{90} = \frac{105}{90} {}^{(5} = \frac{21}{18} {}^{(3} = \frac{7}{6}$

[1,25+1,(6)] : 1,1(6)=

$( {}^{3)} \frac{5}{4} + {}^{4)} \frac{5}{3} ) \div \frac{7}{6} = \\ = \frac{15 + 20}{12} \div \frac{7}{6} = \\ \frac{35}{12} \times \frac{6}{7} = \\ = simlifiam \: vezi \: poza =$

$\huge = \frac{5}{2} = 2.5$