355/104 as a Decimal and Mixed Number

355/104 as a decimal and mixed number expansion provides the detailed information about what is 355/104 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

355/104 as a Decimal
355/104 = 3.4135
Hence,
355/104 as a decimal equals to 3.4135
where,
355/104 is a given fraction,
The decimal expansion of 355/104 is 3.4135

355/104 as a Mixed Number
355/104 = (312 + 43)/104
= 312/104 + 43/104
= 3 + 43/104
= 3 43/104
355/104 = 3 43/104

Hence,
355/104 as a mixed number is 3 ⁴³/₁₀₄
where,
355/104 is a given fraction,
3 ⁴³/₁₀₄ is the mixed number representation of 355/104.

The below work with steps provide the detailed information about how to convert fraction 355/104 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 355/104

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 355/104.

step 2 The numerator is greater than the denominator of the fraction 355/104, so write the given fraction in the expression form in terms of denominator as like the below:
= 355/104
= 312 + 43/104
= (3 x 104) + 43/104

step 3 Make the above expression as individual fractions:
= (3 x 104)/104 + 43/104

step 4 Simplify the above expression:
= 3 x 104/104 + 43/104
= 3 + 43/104
3 + 43/104 can be written as a mixed number 3 ⁴³/₁₀₄.


step 5 Find the decimal equivalent for the fractional part 43/104 in the above expression:
= 3 + 0.4135
= 3.4135
355/104 = 3.4135

Hence,
355/104 as a decimal is 3.4135
355/104 as a mixed number is 3 ⁴³/₁₀₄