Question

verificati daca sunt reciproc inverse numerele 3/5 si 5/3, 1 1/5, 8 2/3 si 2/25, 2 2/5 si 5/12, 3 3/4 si 3/5, 1/15 si 7 1/2

Answer 1

Răspuns: Ai rezolvarea mai jos

Explicație pas cu pas:

Salutare!

Numere reciproc inverse sunt numerele care înmulțite dau o unitate.

$\bf \circledast~ \dfrac{3}{5} \cdot \dfrac{5}{3} = \dfrac{15}{15} =\boxed{\boxed{\bf 1}} \implies \dfrac{3}{5}~si~\dfrac{5}{3}~numere~reciproc~inverse$

$\it~~$

$\bf \circledast~ \dfrac{11}{3} \cdot 8\dfrac{2}{3} =\dfrac{11}{3} \cdot \dfrac{26}{3}= \dfrac{286}{9} \implies \dfrac{11}{3}~si~8\dfrac{2}{3}~NU ~sunt~nr.~reciproc~inverse$

$\it~~$

$\bf \circledast~ 8\dfrac{2}{3} \cdot \dfrac{2}{25} =\dfrac{26}{3}\cdot\dfrac{2}{25} = \dfrac{52}{75} \implies 8\dfrac{2}{3}~si~\dfrac{2}{25}~NU ~sunt~nr.~reciproc~inverse$

$\it~~$

$\bf \circledast~ 2\dfrac{2}{5} \cdot \dfrac{5}{12} =\dfrac{12}{5}\cdot\dfrac{12}{5} = \dfrac{144}{25} \implies 2\dfrac{2}{5}~si~\dfrac{5}{12}~NU ~sunt~nr.~reciproc~inverse$

$\it~~$

$\bf \circledast~ 3\dfrac{3}{4} \cdot \dfrac{3}{5} =\dfrac{15}{4}\cdot\dfrac{3}{5} = \dfrac{9}{4} \implies 3\dfrac{3}{4}~si~\dfrac{3}{5}~NU ~sunt~nr.~reciproc~inverse$

$\it~~$

$\bf \circledast~ \dfrac{1}{15} \cdot 7\dfrac{1}{2} =\dfrac{1}{15}\cdot\dfrac{15}{2} = \dfrac{1}{2} \implies \dfrac{1}{15}~si~7\dfrac{1}{2}~NU ~sunt~nr.~reciproc~inverse$

$\it~~$

#copaceibrainly