138/54 as a Decimal and Mixed Number

138/54 as a decimal and mixed number expansion provides the detailed information about what is 138/54 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

138/54 as a Decimal
138/54 = 2.5556
Hence,
138/54 as a decimal equals to 2.5556
where,
138/54 is a given fraction,
The decimal expansion of 138/54 is 2.5556

138/54 as a Mixed Number
138/54 = (108 + 30)/54
= 108/54 + 30/54
= 2 + 30/54
= 2 30/54
138/54 = 2 30/54

Hence,
138/54 as a mixed number is 2 ³⁰/₅₄
where,
138/54 is a given fraction,
2 ³⁰/₅₄ is the mixed number representation of 138/54.

The below work with steps provide the detailed information about how to convert fraction 138/54 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 138/54

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 138/54.

step 2 The numerator is greater than the denominator of the fraction 138/54, so write the given fraction in the expression form in terms of denominator as like the below:
= 138/54
= 108 + 30/54
= (2 x 54) + 30/54

step 3 Make the above expression as individual fractions:
= (2 x 54)/54 + 30/54

step 4 Simplify the above expression:
= 2 x 54/54 + 30/54
= 2 + 30/54
= 2 + 5 x 6/9 x 6
= 2 + 5/9
2 + 5/9 can be written as a mixed number 2 ⁵/₉.


step 5 Find the decimal equivalent for the fractional part 5/9 in the above expression:
= 2 + 0.5556
= 2.5556
138/54 = 2.5556

Hence,
138/54 as a decimal is 2.5556
138/54 as a mixed number is 2 ⁵/₉