Question

Use (<, >, =) to compare 2⁄3 and 3⁄4.

A. 2⁄3 = 3⁄4
B. 2⁄3 > 3⁄4
C. None of the above
D. 2⁄3 < 3⁄4

Answer 1

2/3 = 0.666
3/4 = 0.75

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

Answer 2

option:D (
`(2)/(3)<(3)/(4)`)

Explanation:

We are asked to compare two rational numbers
`(2)/(3)` and
`(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 ".

`(2)/(3)=(2)/(3)*(4)/(4)=(8)/(12)`

and
`(3)/(4)=(3)/(4)*(3)/(3)=(9)/(12)`

also we know that
`(8)/(12)<(9)/(12)`

⇒
`(2)/(3)<(3)/(4)`

Hence option D is true.