Answer:
7
Step-by-step explanation:
We can model this situation with an equation by assigning a variable x to the number that Ellie thinks of:
[tex]\dfrac{8}{11}x = 56[/tex]
To get 1/11 of her number, we divide both sides by 8 (which is the same thing as multiplying by 1/8):
[tex]\dfrac{1}{\not\!8}\cdot\dfrac{\not\!8}{11}x = 56 \div 8[/tex]
[tex]\boxed{\dfrac{1}{11}x=7}[/tex]
