Question

como fica a divisão da fração 6/9 e 3/8?

Answer 1

Dada a propriedade:

$\mathsf{\dfrac{a}{b}\div \dfrac{c}{d}=\dfrac{a}{b}\cdot \dfrac{d}{c}}$

Logo:

$\mathsf{=\dfrac{6}{9}\div \dfrac{3}{8}}\\\\\\\mathsf{=\dfrac{6}{9}\cdot \dfrac{8}{3}}\\\\\\\mathsf{=\dfrac{6\cdot 8}{9\cdot 3}}\\\\\\\mathsf{=\dfrac{2\cdot 8}{9}}\\\\\\\mathsf{=\dfrac{16}{9}}\\\\\\\mathsf{=\boxed{\mathsf{\dfrac{16}{9}\approx 1,\overline{7}}}}\: \: \checkmark$