Question

decimal expansion of 1/17

Answer 1

Step-by-step explanation:

Explanation:

decimal expansion of 1 / 17.........

17√100 [= 0.05882352941]

85

-------------

150

136

--------------

140

136

----------------

40

34

------------------

60

51

---------------------

90

85

------------------------

50

34

---------------------------

160

153

------------------------------

70

68

--------------------------------

20

17

----------------------------------

30

17

------------------------------------

130

119

-------------------------------------

110

102

---------------------------------------

80

68

------------------------------------------

120

119

------------_------------------------------

1

Ans = = 0.05882352941........

Answer 2

Step-by-step explanation:

As numerator and denominator in the fraction cannot be factorized or simplified any further and denominator has prime factors different from

2 and 5

,

When converted to decimal, we will have repeating numbers beyond decimal point. The repeat will have

16 digits.

1/17 = 1 ÷ 17

=

0

.

058823529411764705882352941176470588235294117647

.....................

i.e.

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

0.0588235294117647

One can obtain it using long division, dividing

1 by 17.

Hope Its Helpful Answer.