1/104 as a decimal expansion provides the detailed information about what is 1/104 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
1/104 as a Decimal
1/104 = 0.0096
Hence,
1/104 as a decimal equals to 0.0096
where,
1/104 is a given fraction,
The decimal expansion of 1/104 is 0.0096
1/104 as a Mixed Number
The given fraction 1/104 can't be represented as a mixed number since the numerator 1 of the given fraction is smaller than the denominator 104.
The below work with steps provide the detailed information about how to convert fraction 1/104 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 1/104
What to be found:
Find the decimal expansion of fraction 1/104.
step 2 The numerator is smaller than the denominator of the fraction 1/104, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 2 more digits than the numerator, multiply 1000 with both numerator and denominator of 1/104.
= 1/104 x 1000/1000
step 3 Rearrange the fraction as like the below:
= 1000/104 x 1/1000
step 4 Simplify the above expression further:
= 1000/104 x 1/1000
= 936 + 64/104 x 1/1000
= ( 936/104 + 64/104) x 1/1000
= (9 + 64/104 ) x 1/1000
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 64/104 in the above expression:
= (9 + 64/104 ) x 1/1000
= (9 + 0.615) x 1/1000
step 6 Simplify the above expression further:
= (9 + 0.615) x 1/1000
= 9.615 x 1/1000
= 9.615/1000
1/104= 0.009615
Hence,
1/104 as a decimal is 0.009615