338/104 as a Decimal and Mixed Number

338/104 as a decimal and mixed number expansion provides the detailed information about what is 338/104 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

338/104 as a Decimal
338/104 = 3.25
Hence,
338/104 as a decimal equals to 3.25
where,
338/104 is a given fraction,
The decimal expansion of 338/104 is 3.25

338/104 as a Mixed Number
338/104 = (312 + 26)/104
= 312/104 + 26/104
= 3 + 26/104
= 3 26/104
338/104 = 3 26/104

Hence,
338/104 as a mixed number is 3 ²⁶/₁₀₄
where,
338/104 is a given fraction,
3 ²⁶/₁₀₄ is the mixed number representation of 338/104.

The below work with steps provide the detailed information about how to convert fraction 338/104 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 338/104

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 338/104.

step 2 The numerator is greater than the denominator of the fraction 338/104, so write the given fraction in the expression form in terms of denominator as like the below:
= 338/104
= 312 + 26/104
= (3 x 104) + 26/104

step 3 Make the above expression as individual fractions:
= (3 x 104)/104 + 26/104

step 4 Simplify the above expression:
= 3 x 104/104 + 26/104
= 3 + 26/104
= 3 + 1 x 26/4 x 26
= 3 + 1/4
3 + 1/4 can be written as a mixed number 3 ¹/₄.


step 5 Find the decimal equivalent for the fractional part 1/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 3 + (1/4 x 25/25)
= 3 + 25/100

step 6 Simplify the above expression further:
= 3 + 0.25
= 3.25
338/104 = 3.25

Hence,
338/104 as a decimal is 3.25
338/104 as a mixed number is 3 ¹/₄