138/13 as a Decimal and Mixed Number

138/13 as a decimal and mixed number expansion provides the detailed information about what is 138/13 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

138/13 as a Decimal
138/13 = 10.6154
Hence,
138/13 as a decimal equals to 10.6154
where,
138/13 is a given fraction,
The decimal expansion of 138/13 is 10.6154

138/13 as a Mixed Number
138/13 = (130 + 8)/13
= 130/13 + 8/13
= 10 + 8/13
= 10 8/13
138/13 = 10 8/13

Hence,
138/13 as a mixed number is 10 ⁸/₁₃
where,
138/13 is a given fraction,
10 ⁸/₁₃ is the mixed number representation of 138/13.

The below work with steps provide the detailed information about how to convert fraction 138/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 138/13

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 138/13.

step 2 The numerator is greater than the denominator of the fraction 138/13, so write the given fraction in the expression form in terms of denominator as like the below:
= 138/13
= 130 + 8/13
= (10 x 13) + 8/13

step 3 Make the above expression as individual fractions:
= (10 x 13)/13 + 8/13

step 4 Simplify the above expression:
= 10 x 13/13 + 8/13
= 10 + 8/13
10 + 8/13 can be written as a mixed number 10 ⁸/₁₃.


step 5 Find the decimal equivalent for the fractional part 8/13 in the above expression:
= 10 + 0.6154
= 10.6154
138/13 = 10.6154

Hence,
138/13 as a decimal is 10.6154
138/13 as a mixed number is 10 ⁸/₁₃