Respuesta :

129/10 is your answer. 12 9/10 is this simplified

Answer:

Quotient is 12.

Step-by-step explanation:

We have to find the quotient when [tex]7\frac{1}{6}[/tex] is divided by [tex]\frac{5}{9}[/tex]

[tex]7\frac{1}{6}[/tex]= [tex]\frac{43}{6}[/tex]

Now we divide this fraction by [tex]\frac{5}{9}[/tex]

[tex]\frac{\frac{43}{6}}{\frac{5}{9}}=\frac{43}{6}\times \frac{9}{5}[/tex]

= [tex]\frac{43\times 3}{10}[/tex]

= [tex]\frac{129}{10}[/tex]

= [tex]12\frac{9}{10}[/tex]

Now the quotient of this division will be 12 and remainder will be [tex]\frac{9}{10}[/tex]