Question

find any three rational number between : ⅔ ,⅚​

Answer 1

Answer:

4/3 5/3 6/3 is the answer

Answer 2

SOLUTION

TO DETERMINE

The three rational number between

$\displaystyle \sf{ \frac{2}{3} \: \: \: and \: \: \: \frac{5}{6} }$

EVALUATION

Here the given two rational numbers are

$\displaystyle \sf{ \frac{2}{3} \: \: \: and \: \: \: \frac{5}{6} }$

The denominators are 3 and 6

We first make them with same denominators

$\displaystyle \sf{ \frac{2}{3} = \frac{2 \times 2}{3 \times 2} = \frac{4}{6} }$

Now

$\displaystyle \sf{ \frac{2}{3} = \frac{4}{6} = \frac{40}{60} }$

$\displaystyle \sf{ \frac{5}{6} = \frac{50}{60} }$

Hence the required three rational numbers are

$\displaystyle \sf{ \frac{41}{60} \: , \: \frac{43}{60} \:, \: \frac{47}{60} }$

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