101/89 as a Decimal and Mixed Number

101/89 as a decimal and mixed number expansion provides the detailed information about what is 101/89 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

101/89 as a Decimal
101/89 = 1.1348
Hence,
101/89 as a decimal equals to 1.1348
where,
101/89 is a given fraction,
The decimal expansion of 101/89 is 1.1348

101/89 as a Mixed Number
101/89 = (89 + 12)/89
= 89/89 + 12/89
= 1 + 12/89
= 1 12/89
101/89 = 1 12/89

Hence,
101/89 as a mixed number is 1 ¹²/₈₉
where,
101/89 is a given fraction,
1 ¹²/₈₉ is the mixed number representation of 101/89.

The below work with steps provide the detailed information about how to convert fraction 101/89 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 101/89

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 101/89.

step 2 The numerator is greater than the denominator of the fraction 101/89, so write the given fraction in the expression form in terms of denominator as like the below:
= 101/89
= 89 + 12/89

step 3 Make the above expression as individual fractions:
= 89/89 + 12/89

step 4 Simplify the above expression:
= 1 x 89/89 + 12/89
= 1 + 12/89
1 + 12/89 can be written as a mixed number 1 ¹²/₈₉.


step 5 Find the decimal equivalent for the fractional part 12/89 in the above expression:
= 1 + 0.1348
= 1.1348
101/89 = 1.1348

Hence,
101/89 as a decimal is 1.1348
101/89 as a mixed number is 1 ¹²/₈₉