138/114 as a Decimal and Mixed Number

138/114 as a decimal and mixed number expansion provides the detailed information about what is 138/114 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

138/114 as a Decimal
138/114 = 1.2105
Hence,
138/114 as a decimal equals to 1.2105
where,
138/114 is a given fraction,
The decimal expansion of 138/114 is 1.2105

138/114 as a Mixed Number
138/114 = (114 + 24)/114
= 114/114 + 24/114
= 1 + 24/114
= 1 24/114
138/114 = 1 24/114

Hence,
138/114 as a mixed number is 1 ²⁴/₁₁₄
where,
138/114 is a given fraction,
1 ²⁴/₁₁₄ is the mixed number representation of 138/114.

The below work with steps provide the detailed information about how to convert fraction 138/114 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 138/114

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 138/114.

step 2 The numerator is greater than the denominator of the fraction 138/114, so write the given fraction in the expression form in terms of denominator as like the below:
= 138/114
= 114 + 24/114

step 3 Make the above expression as individual fractions:
= 114/114 + 24/114

step 4 Simplify the above expression:
= 1 x 114/114 + 24/114
= 1 + 24/114
= 1 + 4 x 6/19 x 6
= 1 + 4/19
1 + 4/19 can be written as a mixed number 1 ⁴/₁₉.


step 5 Find the decimal equivalent for the fractional part 4/19 in the above expression:
= 1 + 0.2105
= 1.2105
138/114 = 1.2105

Hence,
138/114 as a decimal is 1.2105
138/114 as a mixed number is 1 ⁴/₁₉