1/17 as a Decimal

The below work with steps provide the detailed information about how to convert fraction 1/17 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 1/17

What to be found:
Find the decimal expansion of fraction 1/17.

step 2 The numerator is smaller than the denominator of the fraction 1/17, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 1 more digits than the numerator, multiply 100 with both numerator and denominator of 1/17.
= 1/17 x 100/100

step 3 Rearrange the fraction as like the below:
= 100/17 x 1/100

step 4 Simplify the above expression further:
= 100/17 x 1/100
= 85 + 15/17 x 1/100
= ( 85/17 + 15/17) x 1/100
= (5 + 15/17 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 15/17 in the above expression:
= (5 + 15/17 ) x 1/100
= (5 + 0.882) x 1/100

step 6 Simplify the above expression further:
= (5 + 0.882) x 1/100
= 5.882 x 1/100
= 5.882/100
1/17= 0.05882

Hence,
1/17 as a decimal is 0.05882