how do I answer this

Question

2 1/6 divided by 10 5/6

An estimate of the quotient is ?

?(Simplify your answer. Type a whole number or a? fraction.)

The exact answer of the quotient is ?

?(Simplify your answer. Type a whole number or a? fraction.)

Answer 1

Michelle, let's break it down. 2 1/6 is close to 2 and 10 5/6 is close to 11, so your estimate could be 2/11.

 

If we do the actual dividing, 2 1/6 = 13/6 and 10 5/6 = 65/6. When we divide fractions, we flip the 2nd and multiply.

 

13/6 x 6/65 is what we end up with. The sixes cancel out, and we are left with 13/65 = 1/5.

 

Hope this helps!

Answer 2

6*2+1=13 so (13/6) is approximately 2 and 6*10+5=65 so (65/6) is almost 11, therefore the first answer is (2/11) or 0.18. The exact answer would be (13/6)*(6/65)=(13/65) or 0.2. Please let me know if this made sense.