106/105 as a Decimal and Mixed Number

106/105 as a decimal and mixed number expansion provides the detailed information about what is 106/105 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

106/105 as a Decimal
106/105 = 1.0095
Hence,
106/105 as a decimal equals to 1.0095
where,
106/105 is a given fraction,
The decimal expansion of 106/105 is 1.0095

106/105 as a Mixed Number
106/105 = (105 + 1)/105
= 105/105 + 1/105
= 1 + 1/105
= 1 1/105
106/105 = 1 1/105

Hence,
106/105 as a mixed number is 1 ¹/₁₀₅
where,
106/105 is a given fraction,
1 ¹/₁₀₅ is the mixed number representation of 106/105.

The below work with steps provide the detailed information about how to convert fraction 106/105 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 106/105

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 106/105.

step 2 The numerator is greater than the denominator of the fraction 106/105, so write the given fraction in the expression form in terms of denominator as like the below:
= 106/105
= 105 + 1/105

step 3 Make the above expression as individual fractions:
= 105/105 + 1/105

step 4 Simplify the above expression:
= 1 + 1/105
1 + 1/105 can be written as a mixed number 1 ¹/₁₀₅


step 5 Find the decimal equivalent for the fractional part 1/105 in the above expression:
= 1 + 0.0095
= 1.0095
106/105 = 1.0095

Hence,
106/105 as a decimal is 1.0095
106/105 as a mixed number is 1 ¹/₁₀₅