Question

Simplifica raportul dat si scrie proporția obtinuta:99 supra 165;8 supra 3,2;4,2 spra 1,4;0,6 supra 0,36; 2*3 la puterea a doua supra 2 la puterea a doua *3

Answer 1

$a) \frac{99}{165} = \frac{99 : 33}{165 : 33} = \frac{3}{5}$

$c) \frac{4,2}{1,4} = \frac{ \frac{ \frac{42}{10} }{14} } {10}= \frac{ \frac{ \frac{21}{5} }{7} }{5} = \frac{21}{7} = 3$

$d) \frac{0,6}{0,36} = \frac{ \frac{6}{10} }{ \frac{36}{100}} = \frac{ \frac{ \frac{3}{5} }{9} }{25} = \frac{3 \times 25}{5 \times 9} = \frac{3 \times 5}{9} = \frac{5}{3}$

$e) \frac{2 \times {3}^{2} }{ {2}^{2} \times 3 } = {2}^{1-2} \times {3}^{2-1} = {2}^{-1} \times {3}^{1} = \frac{1}{2} \times 3 = \frac{1}{2} \times \frac{3}{1} = \frac{1 \times 3}{2 \times 1} = \frac{3}{2}$