Mathematics: Which expression best estimates 6 3/4 ÷ 1 2/3? a. 7÷2 b. 6÷ 1 c. 8 ÷3 d. 3÷2

Which expression best estimates 6 3/4 ÷ 1 2/3? a. - id6341234291855, kookycookiefanx

mariagoldgames

13.01.2022

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.

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afifakiran5226

25.07.2021

sqrt 25

Step-by-step explanation

If you attempt to rationalize 25 you will get 5 times 5 which isn't a ration. Therefore, the sqrt of 25 is irrational.

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