108/105 as a Decimal and Mixed Number

108/105 as a decimal and mixed number expansion provides the detailed information about what is 108/105 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

108/105 as a Decimal
108/105 = 1.0286
Hence,
108/105 as a decimal equals to 1.0286
where,
108/105 is a given fraction,
The decimal expansion of 108/105 is 1.0286

108/105 as a Mixed Number
108/105 = (105 + 3)/105
= 105/105 + 3/105
= 1 + 3/105
= 1 3/105
108/105 = 1 3/105

Hence,
108/105 as a mixed number is 1 ³/₁₀₅
where,
108/105 is a given fraction,
1 ³/₁₀₅ is the mixed number representation of 108/105.

The below work with steps provide the detailed information about how to convert fraction 108/105 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 108/105

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 108/105.

step 2 The numerator is greater than the denominator of the fraction 108/105, so write the given fraction in the expression form in terms of denominator as like the below:
= 108/105
= 105 + 3/105

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

step 4 Simplify the above expression:
= 1 x 105/105 + 3/105
= 1 + 3/105
= 1 + 1 x 3/35 x 3
= 1 + 1/35
1 + 1/35 can be written as a mixed number 1 ¹/₃₅.


step 5 Find the decimal equivalent for the fractional part 1/35 in the above expression:
= 1 + 0.0286
= 1.0286
108/105 = 1.0286

Hence,
108/105 as a decimal is 1.0286
108/105 as a mixed number is 1 ¹/₃₅