105/104 as a Decimal and Mixed Number

105/104 as a decimal and mixed number expansion provides the detailed information about what is 105/104 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

105/104 as a Decimal
105/104 = 1.0096
Hence,
105/104 as a decimal equals to 1.0096
where,
105/104 is a given fraction,
The decimal expansion of 105/104 is 1.0096

105/104 as a Mixed Number
105/104 = (104 + 1)/104
= 104/104 + 1/104
= 1 + 1/104
= 1 1/104
105/104 = 1 1/104

Hence,
105/104 as a mixed number is 1 ¹/₁₀₄
where,
105/104 is a given fraction,
1 ¹/₁₀₄ is the mixed number representation of 105/104.

The below work with steps provide the detailed information about how to convert fraction 105/104 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 105/104

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 105/104.

step 2 The numerator is greater than the denominator of the fraction 105/104, so write the given fraction in the expression form in terms of denominator as like the below:
= 105/104
= 104 + 1/104

step 3 Make the above expression as individual fractions:
= 104/104 + 1/104

step 4 Simplify the above expression:
= 1 + 1/104
1 + 1/104 can be written as a mixed number 1 ¹/₁₀₄


step 5 Find the decimal equivalent for the fractional part 1/104 in the above expression:
= 1 + 0.0096
= 1.0096
105/104 = 1.0096

Hence,
105/104 as a decimal is 1.0096
105/104 as a mixed number is 1 ¹/₁₀₄