Question

Which is the best estimate of
11 1/5 and 2 3/4

Answer 1

I think your question lacks a little bit of information. After a little research, I am able to find that you probably wanted to say '11 1/5 divided by 2 3/4'.

Therefore, I am solving the question assuming that you want to say:

''What is the best estimate of 11 1/5 divided by 2 3/4''.

Answer:

The best estimate of  11 1/5 divided by 2 3/4 will be: 4

Step-by-step explanation:

Given the information

11 1/5 divided by 2 3/4

solving the expression

$11\frac{1}{5}\div 2\frac{3}{4}$

$\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction:}\:a\frac{b}{c}=\frac{a\cdot \:c+b}{c}$

so

• $11\frac{1}{5}=\frac{11\cdot 5+1}{5}=\frac{56}{5}$

• $2\frac{3}{4}=\frac{2\cdot 4+3}{4}=\frac{11}{4}$

so the expression becomes

$11\frac{1}{5}\div 2\frac{3}{4}\:=\frac{56}{5}\div \:\frac{11}{4}$

                $=\frac{56}{5}\times \frac{4}{11}$

                $=\frac{56\times \:4}{5\times \:11}$

               $=\frac{224}{5\times \:11}$

               $=\frac{224}{55}$

                $=4.07$

                $= 4$       (Rounded to the nearest 1 or the Ones Place)

Therefore, the best estimate of  11 1/5 divided by 2 3/4 will be: 4