Find five rational numbers between -frac{3}{4 | vedclass

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Question

(A) To find rational numbers between $-\frac{3}{4}$ and $-\frac{1}{3}$,first make the denominators equal by finding the Least Common Multiple $(LCM)$

Vedclass · Accepted Answer

-$17$/$24$,-$2$/$3$,-$5$/$8$,-$7$/$12$,-$13$/$24$

Vedclass · Answer

(A) To find rational numbers between $-\frac{3}{4}$ and $-\frac{1}{3}$,first make the denominators equal by finding the Least Common Multiple $(LCM)$ of $4$ and $3$,which is $12$.$-\frac{3}{4} = -\frac{3 	imes 3}{4 	imes 3} = -\frac{9}{12}$$-\frac{1}{3} = -\frac{1 	imes 4}{3 	imes 4} = -\frac{4}{12}$Since there are not enough integers between $-9$ and $-4$,multiply the numerator and denominator by a larger factor,such as $2$,to get more space.$-\frac{9}{12} = -\frac{18}{24}$$-\frac{4}{12} = -\frac{8}{24}$Now,we can choose five rational numbers between $-\frac{18}{24}$ and $-\frac{8}{24}$,which are $-\frac{17}{24}, -\frac{16}{24}, -\frac{15}{24}, -\frac{14}{24}, -\frac{13}{24}$.

Find five rational numbers between $-\frac{3}{4}$ and $-\frac{1}{3}$.

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