Question

Five Rational number between 1/10 and 1/11

Answer 1

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Answer 2

Answer:

TAKE LCM OF (10,11)=110

EQUALIZING THE DENOMINATOR:

$\frac{1}{11} \times \frac{10}{10} = \frac{10}{110}$

$\frac{1}{10} \times \frac{11}{11} = \frac{11}{110}$

AS WE CAN AFTER EQUALIZING THE DENOMINATOR

WE CANNOT INSERT 5 NUMBERS BETWEEN THEM.

SO LET'S TAKE NUMMBER OF RATIONAL NUMBERS TO BE INSERTED IS 5.

WE HAVE TO MULTIPLY 5 +1=6 TO GET THESE RATIONAL NUMBERS.

$\frac{10}{110} \times \frac{6}{6 } = \frac{60}{660}$

$\frac{11}{110} \times \frac{6}{6} = \frac{66}{660}$

so five rational numbers are:

61/660,62/660,63/660,64/660,65/660