Question

Insert 6 rational numbers between 5/6 and 8/9
2

Answer 1

Answer:

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

Step-by-step explanation:

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Answer 2

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Rational Numbers:

• Rational Numbers are the numbers that can be represented in the form of p/q where p and q are integers and q is not equal to zero
• For ex : 2/3 , 2/5 , 6/17 etc.

Given:

• We have been given two rational numbers 5/6 and 8/9

To Find:

• We have to find 6 rational numbers between 5/6 and 8/9

Solution:

Given two rational numbers 5/6 and 8/9

Equating the denominator of both fractions by multiplying by 21/21 with 5/6 and by 14/14 with 8/9

☞ On Multiplying 21/21 with 5/6

$\mapsto \sf{\dfrac{5}{6} \times \dfrac{21}{21} }$

$\mapsto \sf{\dfrac{105}{126}}$

☞ On Multiplying 14/14 with 8/9

$\mapsto \sf{\dfrac{8}{9} \times \dfrac{14}{14} }$

$\mapsto \sf{\dfrac{112}{126}}$

Hence Rational numbers are :

$\sf{\dfrac{106}{126} , \dfrac{107}{126} , \dfrac{108}{126} , \dfrac{109}{126} , \dfrac{110}{126} , \dfrac{111}{126}}$

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Rational Number between 5/6 and 8/9

$\boxed{\bold{\sf{\dfrac{106}{126} , \dfrac{107}{126} , \dfrac{108}{126} , \dfrac{109}{126} , \dfrac{110}{126} , \dfrac{111}{126}}}}$

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$\purple{\large\underline{\underline{\sf{Extra \: Information:}}}}$

• All whole numbers are rational number
• All integers are rational number
• All decimal number are rational number
• All fractional number are rational numbers