Question

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

Answer 1

Step-by-step explanation:

SIX RATIONAL NUMBERS BETWEEN 5/6 AND 8/9 ARE AS FOLLOWS:-

LCM of 6 and 9 = 10

5/6 = 5/6 × 3/3 = 15/18

8/9 = 8/9 × 2/2 = 16/18

15/18 × 7/7 = 105/ 126

16/18 × 7/7 = 112/126

Therefore, 106/126, 107/126, 108/126, 109/126, 110/126, 111/126 are the six rational numbers between 5/6 and 8/9.

Answer 2

Step-by-step explanation:

HEY MATE YOUR ANSWER IS HERE...

★ 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

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

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