The two rational numbers between [tex] - \frac{3}{4} [/tex]and [tex] - \frac{2}{3} [/tex]is [tex] - \frac{32}{48} [/tex],[tex] - \frac{36}{48} [/tex]
In the form of p/q, which can be any integer and where q is not equal to 0, is expressed as rational numbers. As a result, rational numbers also contain decimals, whole numbers, integers, and fractions of integers (terminating decimals and recurring decimals).
given that -3/4 and -2/3
now take L.C.M between these two rational numbers is 12.
now multiply -3/4 with 3 both numerator and denominator
[tex] - \frac{3}{4} \times \frac{3}{3} = - \frac{ 9}{12} [/tex]
again multiply -9/12 with 4 both numerator and denominator
[tex] - \frac{9}{12} \times \frac{4}{4} = - \frac{36}{48} [/tex]
now multiply -2/3 with 4 both numerator and denominator
[tex] - \frac{2}{3} \times \frac{4}{4} = - \frac{8}{12} [/tex]
again multiply -8/12 with 4 both numerator and denominator
[tex] - \frac{8}{12} \times \frac{4}{4} = - \frac{32}{48} [/tex]
Hence the -36/48 and -32/48 are rational numbers between -3/4 and -2/3
Learn more about rational numbers, refer:
https://brainly.com/question/12088221
#SPJ9