180/27 as a Decimal and Mixed Number

180/27 as a decimal and mixed number expansion provides the detailed information about what is 180/27 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

180/27 as a Decimal
180/27 = 6.6667
Hence,
180/27 as a decimal equals to 6.6667
where,
180/27 is a given fraction,
The decimal expansion of 180/27 is 6.6667

180/27 as a Mixed Number
180/27 = (162 + 18)/27
= 162/27 + 18/27
= 6 + 18/27
= 6 18/27
180/27 = 6 18/27

Hence,
180/27 as a mixed number is 6 ¹⁸/₂₇
where,
180/27 is a given fraction,
6 ¹⁸/₂₇ is the mixed number representation of 180/27.

The below work with steps provide the detailed information about how to convert fraction 180/27 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 180/27

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 180/27.

step 2 The numerator is greater than the denominator of the fraction 180/27, so write the given fraction in the expression form in terms of denominator as like the below:
= 180/27
= 162 + 18/27
= (6 x 27) + 18/27

step 3 Make the above expression as individual fractions:
= (6 x 27)/27 + 18/27

step 4 Simplify the above expression:
= 6 x 27/27 + 18/27
= 6 + 18/27
= 6 + 2 x 9/3 x 9
= 6 + 2/3
6 + 2/3 can be written as a mixed number 6 ²/₃.


step 5 Find the decimal equivalent for the fractional part 2/3 in the above expression:
= 6 + 0.6667
= 6.6667
180/27 = 6.6667

Hence,
180/27 as a decimal is 6.6667
180/27 as a mixed number is 6 ²/₃