Math Tricks | Find decimal expansion of multiples of Rational number

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00:02 Q2. You know that 1/7 = 0.142857142857... Can you predict what the decimal expansions of 2/7, 3/7,4/7, 5/7, 6/7 are, without actually doing the long division? If so, how?

Given decimal expansion of rational number 1/7 = 0.142857142857...

01:30 decimal expansion of rational number 2/7

01:45 decimal expansion of rational number 3/7

02:23 decimal expansion 4/7

06:01 decimal expansion of rational number 5/7

03:43 decimal expansion 6/7

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