109/33 as a Decimal and Mixed Number

109/33 as a decimal and mixed number expansion provides the detailed information about what is 109/33 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

109/33 as a Decimal
109/33 = 3.303
Hence,
109/33 as a decimal equals to 3.303
where,
109/33 is a given fraction,
The decimal expansion of 109/33 is 3.303

109/33 as a Mixed Number
109/33 = (99 + 10)/33
= 99/33 + 10/33
= 3 + 10/33
= 3 10/33
109/33 = 3 10/33

Hence,
109/33 as a mixed number is 3 ¹⁰/₃₃
where,
109/33 is a given fraction,
3 ¹⁰/₃₃ is the mixed number representation of 109/33.

The below work with steps provide the detailed information about how to convert fraction 109/33 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 109/33

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 109/33.

step 2 The numerator is greater than the denominator of the fraction 109/33, so write the given fraction in the expression form in terms of denominator as like the below:
= 109/33
= 99 + 10/33
= (3 x 33) + 10/33

step 3 Make the above expression as individual fractions:
= (3 x 33)/33 + 10/33

step 4 Simplify the above expression:
= 3 x 33/33 + 10/33
= 3 + 10/33
3 + 10/33 can be written as a mixed number 3 ¹⁰/₃₃.


step 5 Find the decimal equivalent for the fractional part 10/33 in the above expression:
= 3 + 0.303
= 3.303
109/33 = 3.303

Hence,
109/33 as a decimal is 3.303
109/33 as a mixed number is 3 ¹⁰/₃₃