115/105 as a Decimal and Mixed Number

115/105 as a decimal and mixed number expansion provides the detailed information about what is 115/105 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

115/105 as a Decimal
115/105 = 1.0952
Hence,
115/105 as a decimal equals to 1.0952
where,
115/105 is a given fraction,
The decimal expansion of 115/105 is 1.0952

115/105 as a Mixed Number
115/105 = (105 + 10)/105
= 105/105 + 10/105
= 1 + 10/105
= 1 10/105
115/105 = 1 10/105

Hence,
115/105 as a mixed number is 1 ¹⁰/₁₀₅
where,
115/105 is a given fraction,
1 ¹⁰/₁₀₅ is the mixed number representation of 115/105.

The below work with steps provide the detailed information about how to convert fraction 115/105 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 115/105

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 115/105.

step 2 The numerator is greater than the denominator of the fraction 115/105, so write the given fraction in the expression form in terms of denominator as like the below:
= 115/105
= 105 + 10/105

step 3 Make the above expression as individual fractions:
= 105/105 + 10/105

step 4 Simplify the above expression:
= 1 x 105/105 + 10/105
= 1 + 10/105
= 1 + 2 x 5/21 x 5
= 1 + 2/21
1 + 2/21 can be written as a mixed number 1 ²/₂₁.


step 5 Find the decimal equivalent for the fractional part 2/21 in the above expression:
= 1 + 0.0952
= 1.0952
115/105 = 1.0952

Hence,
115/105 as a decimal is 1.0952
115/105 as a mixed number is 1 ²/₂₁