105/9 as a Decimal and Mixed Number

105/9 as a decimal and mixed number expansion provides the detailed information about what is 105/9 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

105/9 as a Decimal
105/9 = 11.6667
Hence,
105/9 as a decimal equals to 11.6667
where,
105/9 is a given fraction,
The decimal expansion of 105/9 is 11.6667

105/9 as a Mixed Number
105/9 = (99 + 6)/9
= 99/9 + 6/9
= 11 + 6/9
= 11 6/9
105/9 = 11 6/9

Hence,
105/9 as a mixed number is 11 ⁶/₉
where,
105/9 is a given fraction,
11 ⁶/₉ is the mixed number representation of 105/9.

The below work with steps provide the detailed information about how to convert fraction 105/9 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 105/9

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 105/9.

step 2 The numerator is greater than the denominator of the fraction 105/9, so write the given fraction in the expression form in terms of denominator as like the below:
= 105/9
= 99 + 6/9
= (11 x 9) + 6/9

step 3 Make the above expression as individual fractions:
= (11 x 9)/9 + 6/9

step 4 Simplify the above expression:
= 11 x 9/9 + 6/9
= 11 + 6/9
= 11 + 2 x 3/3 x 3
= 11 + 2/3
11 + 2/3 can be written as a mixed number 11 ²/₃.


step 5 Find the decimal equivalent for the fractional part 2/3 in the above expression:
= 11 + 0.6667
= 11.6667
105/9 = 11.6667

Hence,
105/9 as a decimal is 11.6667
105/9 as a mixed number is 11 ²/₃