180/66 as a Decimal and Mixed Number

180/66 as a decimal and mixed number expansion provides the detailed information about what is 180/66 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

180/66 as a Decimal
180/66 = 2.7273
Hence,
180/66 as a decimal equals to 2.7273
where,
180/66 is a given fraction,
The decimal expansion of 180/66 is 2.7273

180/66 as a Mixed Number
180/66 = (132 + 48)/66
= 132/66 + 48/66
= 2 + 48/66
= 2 48/66
180/66 = 2 48/66

Hence,
180/66 as a mixed number is 2 ⁴⁸/₆₆
where,
180/66 is a given fraction,
2 ⁴⁸/₆₆ is the mixed number representation of 180/66.

The below work with steps provide the detailed information about how to convert fraction 180/66 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 180/66

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 180/66.

step 2 The numerator is greater than the denominator of the fraction 180/66, so write the given fraction in the expression form in terms of denominator as like the below:
= 180/66
= 132 + 48/66
= (2 x 66) + 48/66

step 3 Make the above expression as individual fractions:
= (2 x 66)/66 + 48/66

step 4 Simplify the above expression:
= 2 x 66/66 + 48/66
= 2 + 48/66
= 2 + 8 x 6/11 x 6
= 2 + 8/11
2 + 8/11 can be written as a mixed number 2 ⁸/₁₁.


step 5 Find the decimal equivalent for the fractional part 8/11 in the above expression:
= 2 + 0.7273
= 2.7273
180/66 = 2.7273

Hence,
180/66 as a decimal is 2.7273
180/66 as a mixed number is 2 ⁸/₁₁