138/26 as a decimal and mixed number expansion provides the detailed information about what is 138/26 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
138/26 as a Decimal
138/26 = 5.3077
Hence,
138/26 as a decimal equals to 5.3077
where,
138/26 is a given fraction,
The decimal expansion of 138/26 is 5.3077
138/26 as a Mixed Number
138/26 = (130 + 8)/26
= 130/26 + 8/26
= 5 + 8/26
= 5 8/26
138/26 = 5 8/26
Hence,
138/26 as a mixed number is 5 8/26
where,
138/26 is a given fraction,
5 8/26 is the mixed number representation of 138/26.
The below work with steps provide the detailed information about how to convert fraction 138/26 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 138/26
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 138/26.
step 2 The numerator is greater than the denominator of the fraction 138/26, so write the given fraction in the expression form in terms of denominator as like the below:
= 138/26
= 130 + 8/26
= (5 x 26) + 8/26
step 3 Make the above expression as individual fractions:
= (5 x 26)/26 + 8/26
step 4 Simplify the above expression:
= 5 x 26/26 + 8/26
= 5 + 8/26
= 5 + 4 x 2/13 x 2
= 5 + 4/13
5 + 4/13 can be written as a mixed number 5 4/13.
step 5 Find the decimal equivalent for the fractional part 4/13 in the above expression:
= 5 + 0.3077
= 5.3077
138/26 = 5.3077
Hence,
138/26 as a decimal is 5.3077
138/26 as a mixed number is 5 4/13