Question

Pornind de la proporțiile date mai jos scrieți câte trei proporții derivate cu aceeași termeni și șase proporții derivate cu termen schimbați 2/5=8/20 10/5=6/3
Dau coroana!!!!

Answer 1

Răspuns:Ai rezolvarea mai jos

Explicație pas cu pas:

Salutare!

• Proporții derivate cu aceeași termeni

$\bf \dfrac{2}{5} = \dfrac{8}{20} \implies\dfrac{20}{5} = \dfrac{8}{2}\:\:\text{\it(schimbarea extremilor intre ei)}$

$\bf \dfrac{2}{5} = \dfrac{8}{20} \implies\dfrac{20}{8} = \dfrac{5}{2} \:\:\:\text{\it(schimbarea mezilor intre ei)}$

$\bf \dfrac{2}{5} = \dfrac{8}{20} \implies\dfrac{5}{20} = \dfrac{2}{8}\:\:\text{\it(inversarea fiecarui raport)}$

                                                                           

$\bf \dfrac{10}{5} = \dfrac{6}{3} \implies\dfrac{3}{5} = \dfrac{6}{10}\:\:\text{\it(schimbarea extremilor intre ei)}$

$\bf \dfrac{6}{3} = \dfrac{10}{5} \implies\dfrac{6}{10} = \dfrac{3}{5} \:\:\:\text{\it(schimbarea mezilor intre ei)}$

$\bf \dfrac{6}{3} = \dfrac{10}{5} \implies\dfrac{3}{6} = \dfrac{5}{10} \:\:\text{\it(inversarea fiecarui raport)}$

• Proporții derivate cu termeni schimbati

$\bf \dfrac{2}{5} = \dfrac{8}{20} \implies\dfrac{2}{2+5} = \dfrac{8}{20+8}$

$\bf \dfrac{2}{5} = \dfrac{8}{20} \implies\dfrac{2+5}{5} = \dfrac{8+20}{20}$

$\bf \dfrac{2}{5} = \dfrac{8}{20} \implies\dfrac{2}{5} = \dfrac{2+8}{5+20}$

$\bf \dfrac{2}{5} = \dfrac{8}{20} \implies\dfrac{2}{5} = \dfrac{2-8}{5-20}$

$\bf \dfrac{2}{5} = \dfrac{8}{20} \implies\dfrac{2-5}{5} = \dfrac{8-20}{20}$

$\bf \dfrac{2}{5} = \dfrac{8}{20} \implies\dfrac{2}{2-5} = \dfrac{8}{8-20}$

                                                                           

$\bf \dfrac{10}{5} = \dfrac{6}{3} \implies\dfrac{10}{5} = \dfrac{10+6}{5+3}$

$\bf \dfrac{10}{5} = \dfrac{6}{3} \implies\dfrac{10}{10+5} = \dfrac{6}{6+3}$

$\bf \dfrac{10}{5} = \dfrac{6}{3} \implies\dfrac{10+5}{5} = \dfrac{6+3}{3}$

$\bf \dfrac{10}{5} = \dfrac{6}{3} \implies\dfrac{10}{5} = \dfrac{10-6}{5-3}$

$\bf \dfrac{10}{5} = \dfrac{6}{3} \implies\dfrac{10}{10-5} = \dfrac{6}{6-3}$

$\bf \dfrac{10}{5} = \dfrac{6}{3} \implies\dfrac{10-5}{5} = \dfrac{6-3}{3}$

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