Question

Find four rational numbers between 2/9 and 3/7.

Answer 1

Step-by-step explanation:

2/9 and 3/7 =

First we need to make it into like term

The l.c.m. of 9 and 7 is 63

2/9×7/7 and 3/7×9/9 =

14/63 and 27/63 =

14/63,15/64,16/63,17/63,18/63,19/63,

20/63,21/63,22/63,23/63,24/63,

25/63.

Answer 2

$\: \: \: \: \: \: \: \: \: \{ \: \: \: \large \pink {\underline {\underline{ \mathfrak Question}}} \: \: \: \: \}$

• Find four rational numbers between 2/9 and 3/7.

$\: \: \: \: \: \: \: \: \: \{ \: \: \large \pink {\underline{\underline\mathfrak{To \: Find}}} \: \: \: \: \}$

• Find four rational numbers between 2/9 and 3/7.

$\: \: \: \: \: \: \: \: \: \: \: \: \{ \: \large \pink {\underline {\underline \mathfrak {Solution}}} \: \: \}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \purple {: \implies} \sf \dfrac{2}{9} \: and \: \dfrac{3}{7}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \purple{: \implies }\sf \: \dfrac{2 \times 7}{9 \times 7} \: and \: \dfrac{3 \times 9}{7 \times 9}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \purple{: \implies} \sf \: \dfrac{14}{63} \: and \: \dfrac{27}{63}$

$\: \: \: \: \: \dag \: \pink {\underline {\underline \mathfrak {Therefore \: The \: four \: factors \: are :}}} \: \: \dag$

$\: \: \: \: \: \purple {: \implies }\sf \dfrac{15}{63} < \dfrac{16}{63} < \dfrac{17}{63} < \dfrac{18}{63}$

I hope you understand This answer ❤