180/55 as a Decimal and Mixed Number

180/55 as a decimal and mixed number expansion provides the detailed information about what is 180/55 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

180/55 as a Decimal
180/55 = 3.2727
Hence,
180/55 as a decimal equals to 3.2727
where,
180/55 is a given fraction,
The decimal expansion of 180/55 is 3.2727

180/55 as a Mixed Number
180/55 = (165 + 15)/55
= 165/55 + 15/55
= 3 + 15/55
= 3 15/55
180/55 = 3 15/55

Hence,
180/55 as a mixed number is 3 ¹⁵/₅₅
where,
180/55 is a given fraction,
3 ¹⁵/₅₅ is the mixed number representation of 180/55.

The below work with steps provide the detailed information about how to convert fraction 180/55 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 180/55

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 180/55.

step 2 The numerator is greater than the denominator of the fraction 180/55, so write the given fraction in the expression form in terms of denominator as like the below:
= 180/55
= 165 + 15/55
= (3 x 55) + 15/55

step 3 Make the above expression as individual fractions:
= (3 x 55)/55 + 15/55

step 4 Simplify the above expression:
= 3 x 55/55 + 15/55
= 3 + 15/55
= 3 + 3 x 5/11 x 5
= 3 + 3/11
3 + 3/11 can be written as a mixed number 3 ³/₁₁.


step 5 Find the decimal equivalent for the fractional part 3/11 in the above expression:
= 3 + 0.2727
= 3.2727
180/55 = 3.2727

Hence,
180/55 as a decimal is 3.2727
180/55 as a mixed number is 3 ³/₁₁