Question

3) Determine o valor do ⬜ em cada fração abaixo:


a) 2/3 de ⬜ = 120

b) 3/5 de ⬜ = 25

c) 2/7 de ⬜ = 21

d) 5/8 de ⬜ = 40

e) 3/4 de ⬜ = 16

f) 2/9 de ⬜ = 27​

Answer 1

Resposta:

O valor procurado está no final de cada cálculo. Espero ter ajudado.

Explicação passo-a-passo:

$\dfrac{2}{3}\,de\,?=120\implies\,?=120\div   \dfrac{2}{3}=120\times  \dfrac{3}{2}=\dfrac{120\times  3}{2}=\dfrac{360}{2}=180\\\dfrac{3}{5}\,de\,?=25\implies\,?=25\div   \dfrac{3}{5}=25\times  \dfrac{5}{3}=\dfrac{25\times  5}{3}=\dfrac{125}{3}\\\dfrac{2}{7}\,de\,?=21\implies\,?=21\div   \dfrac{2}{7}=21\times  \dfrac{7}{2}=\dfrac{21\times  7}{2}=\dfrac{147}{2}\\\dfrac{5}{8}\,de\,?=40\implies\,?=40\div   \dfrac{5}{8}=40\times  \dfrac{8}{5}=\dfrac{40\times  8}{5}=\dfrac{320}{5}=64\\\dfrac{3}{4}\,de\,?=16\implies\,?=16\div   \dfrac{3}{4}=16\times  \dfrac{4}{3}=\dfrac{16\times  4}{3}=\dfrac{64}{3}\\\dfrac{2}{9}\,de\,?=27\implies\,?=27\div   \dfrac{2}{9}=27\times  \dfrac{9}{2}=\dfrac{27\times  9}{2}=\dfrac{243}{2}$