Answered



Use (<, >, =) to compare 2⁄3 and 3⁄4.

A2⁄3 = 3⁄4
B2⁄3 > 3⁄4
CNone of the above
D2⁄3 < 3⁄4

Verified Answer :

texaschic101

2/3 = 0.666
3/4 = 0.75

so.....2/3 < 3/4

Answer:

option:D (\(\frac{2}{3}<\frac{3}{4}\))

Step-by-step explanation:

We are asked to compare two rational numbers \(\frac{2}{3}\) and \(\frac{3}{4}\).

"two rational number can be compared by making there denominator same and compare whose numerator is larger or smaller " .

" if the denominator is same and numerator of one is larger than the other than that rational number is larger ".

\(\frac{2}{3}=\frac{2}{3}\times\frac{4}{4}=\frac{8}{12}\)

and \(\frac{3}{4}=\frac{3}{4}\times\frac{3}{3}=\frac{9}{12}\)

also we know that \(\frac{8}{12}<\frac{9}{12}\)

⇒   \(\frac{2}{3}<\frac{3}{4}\)

Hence option D is true.


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