84/33 as a Decimal and Mixed Number

84/33 as a decimal and mixed number expansion provides the detailed information about what is 84/33 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

84/33 as a Decimal
84/33 = 2.5455
Hence,
84/33 as a decimal equals to 2.5455
where,
84/33 is a given fraction,
The decimal expansion of 84/33 is 2.5455

84/33 as a Mixed Number
84/33 = (66 + 18)/33
= 66/33 + 18/33
= 2 + 18/33
= 2 18/33
84/33 = 2 18/33

Hence,
84/33 as a mixed number is 2 ¹⁸/₃₃
where,
84/33 is a given fraction,
2 ¹⁸/₃₃ is the mixed number representation of 84/33.

The below work with steps provide the detailed information about how to convert fraction 84/33 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 84/33

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 84/33.

step 2 The numerator is greater than the denominator of the fraction 84/33, so write the given fraction in the expression form in terms of denominator as like the below:
= 84/33
= 66 + 18/33
= (2 x 33) + 18/33

step 3 Make the above expression as individual fractions:
= (2 x 33)/33 + 18/33

step 4 Simplify the above expression:
= 2 x 33/33 + 18/33
= 2 + 18/33
= 2 + 6 x 3/11 x 3
= 2 + 6/11
2 + 6/11 can be written as a mixed number 2 ⁶/₁₁.


step 5 Find the decimal equivalent for the fractional part 6/11 in the above expression:
= 2 + 0.5455
= 2.5455
84/33 = 2.5455

Hence,
84/33 as a decimal is 2.5455
84/33 as a mixed number is 2 ⁶/₁₁