Question

Calculati raportul numerelor:Va rog mult rezolvarea .
a)2,5 si 3,25
b)0,3 si 0, (3)
c)0,2 (6)si 2, (8)
d)1,25 si 2,1(3)

Answer 1

$a) \frac{2.5}{3.25} = \frac{ \frac{25}{10} }{ \frac{325}{100} } = \frac{25}{10} \times \frac{100}{325} = \frac{10}{13}$

$b) \frac{0.3}{0.(3)} = \frac{ \frac{3}{10} }{ \frac{3}{9} } = \frac{3}{10} \times \frac{9}{3} = \frac{10}{3} \times 3 = \frac{30}{3} = 10$

$c) \frac{0.2(6)}{2.(8)} = \frac{ \frac{26 - 2}{90} }{ \frac{28 - 2}{9} } = \frac{ \frac{24}{90} }{ \frac{26}{9} } = \frac{24}{90} \times \frac{9}{26} = \frac{12}{10} \times \frac{1}{13} = \frac{12}{130} = \frac{6}{65}$

$d) \frac{1.25}{2.1(3)} = \frac{ \frac{125}{100} }{ \frac{213 - 21}{90} } = \frac{ \frac{125}{100} }{ \frac{192}{90} } = \frac{125}{100} \times \frac{90}{192} = \frac{25}{20} \times \frac{45}{96} = \frac{5}{4} \times \frac{15}{32} = \frac{75}{128}$