Question

Which expression best estimates 6 3/4 ÷ 1 2/3?

a. 7÷2
b. 6÷ 1
c. 8 ÷3
d. 3÷2

Answer 1

The answer would be A. because u have to round up so 6 3/4 is about 7 and 1 2/3 is about 2 so thus the answer is A. or 7 divided by 2

Answer 2

a.
`7/ 2`

Explanation:

We have been given an expression
`6(3)/(4)/ 1(2)/(3)`. We are asked to find the best estimate for our given expression.

First of all let us convert our given mixed fractions into decimal as shown below:

`6(3)/(4)\rightarrow (6* 4+3)/(4)=(24+3)/(4)=(27)/(4)=6.75`

`1(2)/(3)\rightarrow (1* 3+2)/(3)=(3+2)/(3)=(5)/(3)=1.666`

Upon rounding our numbers to nearest whole number we will get,

`6(3)/(4)=6.75\approx 7`

`1(2)/(3)=1.66\approx 2`

Therefore, our required expression will be
`7/ 2` and option 'a' is the correct choice.