105/89 as a Decimal and Mixed Number

105/89 as a decimal and mixed number expansion provides the detailed information about what is 105/89 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

105/89 as a Decimal
105/89 = 1.1798
Hence,
105/89 as a decimal equals to 1.1798
where,
105/89 is a given fraction,
The decimal expansion of 105/89 is 1.1798

105/89 as a Mixed Number
105/89 = (89 + 16)/89
= 89/89 + 16/89
= 1 + 16/89
= 1 16/89
105/89 = 1 16/89

Hence,
105/89 as a mixed number is 1 ¹⁶/₈₉
where,
105/89 is a given fraction,
1 ¹⁶/₈₉ is the mixed number representation of 105/89.

The below work with steps provide the detailed information about how to convert fraction 105/89 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 105/89

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 105/89.

step 2 The numerator is greater than the denominator of the fraction 105/89, so write the given fraction in the expression form in terms of denominator as like the below:
= 105/89
= 89 + 16/89

step 3 Make the above expression as individual fractions:
= 89/89 + 16/89

step 4 Simplify the above expression:
= 1 x 89/89 + 16/89
= 1 + 16/89
1 + 16/89 can be written as a mixed number 1 ¹⁶/₈₉.


step 5 Find the decimal equivalent for the fractional part 16/89 in the above expression:
= 1 + 0.1798
= 1.1798
105/89 = 1.1798

Hence,
105/89 as a decimal is 1.1798
105/89 as a mixed number is 1 ¹⁶/₈₉