138/37 as a Decimal and Mixed Number

138/37 as a decimal and mixed number expansion provides the detailed information about what is 138/37 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

138/37 as a Decimal
138/37 = 3.7297
Hence,
138/37 as a decimal equals to 3.7297
where,
138/37 is a given fraction,
The decimal expansion of 138/37 is 3.7297

138/37 as a Mixed Number
138/37 = (111 + 27)/37
= 111/37 + 27/37
= 3 + 27/37
= 3 27/37
138/37 = 3 27/37

Hence,
138/37 as a mixed number is 3 ²⁷/₃₇
where,
138/37 is a given fraction,
3 ²⁷/₃₇ is the mixed number representation of 138/37.

The below work with steps provide the detailed information about how to convert fraction 138/37 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 138/37

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 138/37.

step 2 The numerator is greater than the denominator of the fraction 138/37, so write the given fraction in the expression form in terms of denominator as like the below:
= 138/37
= 111 + 27/37
= (3 x 37) + 27/37

step 3 Make the above expression as individual fractions:
= (3 x 37)/37 + 27/37

step 4 Simplify the above expression:
= 3 x 37/37 + 27/37
= 3 + 27/37
3 + 27/37 can be written as a mixed number 3 ²⁷/₃₇.


step 5 Find the decimal equivalent for the fractional part 27/37 in the above expression:
= 3 + 0.7297
= 3.7297
138/37 = 3.7297

Hence,
138/37 as a decimal is 3.7297
138/37 as a mixed number is 3 ²⁷/₃₇