Answer:
[tex]\large\boxed{35:7\dfrac{5}{9}=\dfrac{315}{68}=4\dfrac{43}{68}}[/tex]
Step-by-step explanation:
[tex]\text{The quotient of}\ 35\ \text{and}\ 7\dfrac{5}{9}:\\\\35:7\dfrac{5}{9}\qquad\text{convert the mixed number to the improper fraction}\\\\=35:\dfrac{7\cdot9+5}{9}\\\\=35:\dfrac{68}{9}\\\text{replace division by fraction to multiplication by the reciprocal of this fraction}\\\\=35\cdot\dfrac{9}{68}=\dfrac{(35)(9)}{68}=\dfrac{315}{68}=4\dfrac{43}{68}[/tex]
