Question

insert six rational numbers between 5 by 6 and 8 by 9 ​

Answer 1

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★ REQUIRED KNOWLEDGE ★

→ WHAT IS A RATIONAL NUMBER

( a rational number is a number which can be in form of p/q )

★ SOLUTION ★

5 RATIONAL NUMBER BETWEEN

$\frac{5}{6} \: \: and \: \: \: \frac{8}{9}$

RATIONALISE THE DENOMINATOR

$\frac{45}{54} \: \: \: \: and \: \: \: \: \frac{48}{54}$

NOW MULTIPLY BOTH SIDE BY 10

$\frac{450}{540} \: \: \: and \: \: \: \: \frac{480}{540}$

HENCE 6 RATIONAL NUMBER ARE

$\frac{451}{540} \: \\ \\ \frac{452}{540} \\ \\ \frac{453}{540} \\ \\ \frac{454}{540} \\ \\ \frac{455}{540} \\ \\ \frac{456}{540}$

THANKS FOR YOUR QUESTION HOPE THIS HELPS..

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