221/104 as a Decimal and Mixed Number

221/104 as a decimal and mixed number expansion provides the detailed information about what is 221/104 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

221/104 as a Decimal
221/104 = 2.125
Hence,
221/104 as a decimal equals to 2.125
where,
221/104 is a given fraction,
The decimal expansion of 221/104 is 2.125

221/104 as a Mixed Number
221/104 = (208 + 13)/104
= 208/104 + 13/104
= 2 + 13/104
= 2 13/104
221/104 = 2 13/104

Hence,
221/104 as a mixed number is 2 ¹³/₁₀₄
where,
221/104 is a given fraction,
2 ¹³/₁₀₄ is the mixed number representation of 221/104.

The below work with steps provide the detailed information about how to convert fraction 221/104 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 221/104

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 221/104.

step 2 The numerator is greater than the denominator of the fraction 221/104, so write the given fraction in the expression form in terms of denominator as like the below:
= 221/104
= 208 + 13/104
= (2 x 104) + 13/104

step 3 Make the above expression as individual fractions:
= (2 x 104)/104 + 13/104

step 4 Simplify the above expression:
= 2 x 104/104 + 13/104
= 2 + 13/104
= 2 + 1 x 13/8 x 13
= 2 + 1/8
2 + 1/8 can be written as a mixed number 2 ¹/₈.


step 5 Find the decimal equivalent for the fractional part 1/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 2 + (1/8 x 125/125)
= 2 + 125/1000

step 6 Simplify the above expression further:
= 2 + 0.125
= 2.125
221/104 = 2.125

Hence,
221/104 as a decimal is 2.125
221/104 as a mixed number is 2 ¹/₈