180/33 as a Decimal and Mixed Number

180/33 as a decimal and mixed number expansion provides the detailed information about what is 180/33 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

180/33 as a Decimal
180/33 = 5.4545
Hence,
180/33 as a decimal equals to 5.4545
where,
180/33 is a given fraction,
The decimal expansion of 180/33 is 5.4545

180/33 as a Mixed Number
180/33 = (165 + 15)/33
= 165/33 + 15/33
= 5 + 15/33
= 5 15/33
180/33 = 5 15/33

Hence,
180/33 as a mixed number is 5 ¹⁵/₃₃
where,
180/33 is a given fraction,
5 ¹⁵/₃₃ is the mixed number representation of 180/33.

The below work with steps provide the detailed information about how to convert fraction 180/33 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 180/33

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 180/33.

step 2 The numerator is greater than the denominator of the fraction 180/33, so write the given fraction in the expression form in terms of denominator as like the below:
= 180/33
= 165 + 15/33
= (5 x 33) + 15/33

step 3 Make the above expression as individual fractions:
= (5 x 33)/33 + 15/33

step 4 Simplify the above expression:
= 5 x 33/33 + 15/33
= 5 + 15/33
= 5 + 5 x 3/11 x 3
= 5 + 5/11
5 + 5/11 can be written as a mixed number 5 ⁵/₁₁.


step 5 Find the decimal equivalent for the fractional part 5/11 in the above expression:
= 5 + 0.4545
= 5.4545
180/33 = 5.4545

Hence,
180/33 as a decimal is 5.4545
180/33 as a mixed number is 5 ⁵/₁₁