Answer:
option:D ([tex]\frac{2}{3}<\frac{3}{4}[/tex])
Step-by-step explanation:
We are asked to compare two rational numbers [tex]\frac{2}{3}[/tex] and [tex]\frac{3}{4}[/tex].
"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 ".
[tex]\frac{2}{3}=\frac{2}{3}\times\frac{4}{4}=\frac{8}{12}[/tex]
and [tex]\frac{3}{4}=\frac{3}{4}\times\frac{3}{3}=\frac{9}{12}[/tex]
also we know that [tex]\frac{8}{12}<\frac{9}{12}[/tex]
⇒ [tex]\frac{2}{3}<\frac{3}{4}[/tex]
Hence option D is true.
