Question

hey Mates

Find the answer and explain....

Decimal expansion of 1 /17

Answer 1

Check out the attached file

Answer 2

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.