138/102 as a Decimal and Mixed Number

138/102 as a decimal and mixed number expansion provides the detailed information about what is 138/102 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

138/102 as a Decimal
138/102 = 1.3529
Hence,
138/102 as a decimal equals to 1.3529
where,
138/102 is a given fraction,
The decimal expansion of 138/102 is 1.3529

138/102 as a Mixed Number
138/102 = (102 + 36)/102
= 102/102 + 36/102
= 1 + 36/102
= 1 36/102
138/102 = 1 36/102

Hence,
138/102 as a mixed number is 1 ³⁶/₁₀₂
where,
138/102 is a given fraction,
1 ³⁶/₁₀₂ is the mixed number representation of 138/102.

The below work with steps provide the detailed information about how to convert fraction 138/102 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 138/102

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 138/102.

step 2 The numerator is greater than the denominator of the fraction 138/102, so write the given fraction in the expression form in terms of denominator as like the below:
= 138/102
= 102 + 36/102

step 3 Make the above expression as individual fractions:
= 102/102 + 36/102

step 4 Simplify the above expression:
= 1 x 102/102 + 36/102
= 1 + 36/102
= 1 + 6 x 6/17 x 6
= 1 + 6/17
1 + 6/17 can be written as a mixed number 1 ⁶/₁₇.


step 5 Find the decimal equivalent for the fractional part 6/17 in the above expression:
= 1 + 0.3529
= 1.3529
138/102 = 1.3529

Hence,
138/102 as a decimal is 1.3529
138/102 as a mixed number is 1 ⁶/₁₇