Question

insert 1 rational numbers between 5/6 and 6/7

Answer 1

Hey
Your answe is
5/6 , 6/7
taking LCM
35 /42 , 42/42
So the rational number is 42/42 or 38/42

Hope it helps :)

Answer 2

$\boxed{\mathfrak{Heya !}}$

“To find rational numbers between two rational numbers—

• first of all we need to check whether their dinominators are equal or not.

• If not equal then we need to make them equal by finding the LCM of both the dimominators”

“In this case the dinominators are not equal. So, our first task is to make their dinominators equal”

“After that, if we don't get 1 rational number between them, then we need to multiply them by 2”

$\frac{5}{6} = \frac{5 \times 7}{6 \times 7} = \frac{35}{42} = \frac{35 \times 2}{42 \times 2} = \frac{70}{84}$

$\frac{6}{7} = \frac{6 \times 6}{7 \times 6} = \frac{36}{42} = \frac{36 \times 2}{42 \times 2} = \frac{72}{84}$

“Now we have 1 rational between them”

Rational Number between them is

$\frac{71}{84}$

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$\textbf{Hope it helps you}$
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$\textbf{Have a great day ahead !}$