102/33 as a Decimal and Mixed Number

102/33 as a decimal and mixed number expansion provides the detailed information about what is 102/33 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

102/33 as a Decimal
102/33 = 3.0909
Hence,
102/33 as a decimal equals to 3.0909
where,
102/33 is a given fraction,
The decimal expansion of 102/33 is 3.0909

102/33 as a Mixed Number
102/33 = (99 + 3)/33
= 99/33 + 3/33
= 3 + 3/33
= 3 3/33
102/33 = 3 3/33

Hence,
102/33 as a mixed number is 3 ³/₃₃
where,
102/33 is a given fraction,
3 ³/₃₃ is the mixed number representation of 102/33.

The below work with steps provide the detailed information about how to convert fraction 102/33 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 102/33

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 102/33.

step 2 The numerator is greater than the denominator of the fraction 102/33, so write the given fraction in the expression form in terms of denominator as like the below:
= 102/33
= 99 + 3/33
= (3 x 33) + 3/33

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

step 4 Simplify the above expression:
= 3 x 33/33 + 3/33
= 3 + 3/33
= 3 + 1 x 3/11 x 3
= 3 + 1/11
3 + 1/11 can be written as a mixed number 3 ¹/₁₁.


step 5 Find the decimal equivalent for the fractional part 1/11 in the above expression:
= 3 + 0.0909
= 3.0909
102/33 = 3.0909

Hence,
102/33 as a decimal is 3.0909
102/33 as a mixed number is 3 ¹/₁₁