Respuesta :

[tex] \frac{7}{15} : \frac{3}{5} [/tex]

[tex] \frac{7}{15} * \frac{5}{3} [/tex] (simplify 15 with 5)

[tex] \frac{7}{3} * \frac{1}{3} [/tex]

Final result is 7/9

So your answer is D

Answer:  The correct option is (D) [tex]\dfrac{7}{9}.[/tex]

Step-by-step explanation:  We are given to divide [tex]\dfrac{7}{15}[/tex] by [tex]\dfrac{3}[5}.[/tex]

We know the following rule :

[tex]\dfrac{a}{b}\div \dfrac{c}{d}=\dfrac{a}{b}\times\dfrac{d}{c}.[/tex]

So, we get

[tex]\dfrac{7}{15}\div\dfrac{3}{5}\\\\\\=\dfrac{7}{15}\times \dfrac{5}{3}\\\\\\\\=\dfrac{7}{3\times3}\\\\\\=\dfrac{7}{9}.[/tex]

Thus, the required simplified answer is [tex]\dfrac{7}{9}.[/tex]

Option (D) is CORRECT.

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