Question

The quotient of 35 and 7 5/9

Answer 1

`\large\boxed{35:7(5)/(9)=(315)/(68)=4(43)/(68)}`

Explanation:

`\text{The quotient of}\ 35\ \text{and}\ 7(5)/(9):\\\\35:7(5)/(9)\qquad\text{convert the mixed number to the improper fraction}\\\\=35:(7\cdot9+5)/(9)\\\\=35:(68)/(9)\\\text{replace division by fraction to multiplication by the reciprocal of this fraction}\\\\=35\cdot(9)/(68)=((35)(9))/(68)=(315)/(68)=4(43)/(68)`