Question

stiind ca p/10=2/3=11/q,valoarea raportului p/q scrisa ca fractie zecimala este

Answer 1

[tex]\it \it \dfrac{p}{10} =\dfrac{2}{3} \ \ \ (1) \\\;\\ \\\;\\ \dfrac{11}{q} =\dfrac{2}{3} \ \ \ \ (2) \\\;\\ \\\;\\ \dfrac{p}{10}\cdot \dfrac{11}{q} =\dfrac{2}{3} \cdot\dfrac{2}{3} \Rightarrow\dfrac{p}{q} \cdot\dfrac{11}{10} = \dfrac{4}{9} \Rightarrow\dfrac{p}{q} = \dfrac{4}{9} \cdot\dfrac{10}{11} \Rightarrow\dfrac{p}{q} =\dfrac{40}{99} =0, (40)[/tex]