Question

If 7x=1, then find the decimal expansion of x.

Answer 1

X = 1/7 = 0.142857142857142857142857142857142857…..

When we divide 1 with 7 then after a certain point the quotient with start to repeat itself becoming a non-terminating number. In such a situation, we put up a bar on the number that is repeating itself in the division method instead of writing them again.

Hence, 1/7 = 0.142857 bar on the whole number after the decimal.

Answer 2

$x \: = \: \frac{1}{7} = 0.142857 \: bar$


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