144/104 as a Decimal and Mixed Number

144/104 as a decimal and mixed number expansion provides the detailed information about what is 144/104 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

144/104 as a Decimal
144/104 = 1.3846
Hence,
144/104 as a decimal equals to 1.3846
where,
144/104 is a given fraction,
The decimal expansion of 144/104 is 1.3846

144/104 as a Mixed Number
144/104 = (104 + 40)/104
= 104/104 + 40/104
= 1 + 40/104
= 1 40/104
144/104 = 1 40/104

Hence,
144/104 as a mixed number is 1 ⁴⁰/₁₀₄
where,
144/104 is a given fraction,
1 ⁴⁰/₁₀₄ is the mixed number representation of 144/104.

The below work with steps provide the detailed information about how to convert fraction 144/104 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 144/104

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 144/104.

step 2 The numerator is greater than the denominator of the fraction 144/104, so write the given fraction in the expression form in terms of denominator as like the below:
= 144/104
= 104 + 40/104

step 3 Make the above expression as individual fractions:
= 104/104 + 40/104

step 4 Simplify the above expression:
= 1 x 104/104 + 40/104
= 1 + 40/104
= 1 + 5 x 8/13 x 8
= 1 + 5/13
1 + 5/13 can be written as a mixed number 1 ⁵/₁₃.


step 5 Find the decimal equivalent for the fractional part 5/13 in the above expression:
= 1 + 0.3846
= 1.3846
144/104 = 1.3846

Hence,
144/104 as a decimal is 1.3846
144/104 as a mixed number is 1 ⁵/₁₃