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

Answer:

a. $7\div 2$

Step-by-step explanation:

We have been given an expression $6\frac{3}{4}\div 1\frac{2}{3}$. 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:

$6\frac{3}{4}\rightarrow \frac{6\times 4+3}{4}=\frac{24+3}{4}=\frac{27}{4}=6.75$

$1\frac{2}{3}\rightarrow \frac{1\times 3+2}{3}=\frac{3+2}{3}=\frac{5}{3}=1.666$

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

$6\frac{3}{4}=6.75\approx 7$

$1\frac{2}{3}=1.66\approx 2$

Therefore, our required expression will be $7\div 2$ and option 'a' is the correct choice.

Answer 2

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