325/104 as a Decimal and Mixed Number

325/104 as a decimal and mixed number expansion provides the detailed information about what is 325/104 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

325/104 as a Decimal
325/104 = 3.125
Hence,
325/104 as a decimal equals to 3.125
where,
325/104 is a given fraction,
The decimal expansion of 325/104 is 3.125

325/104 as a Mixed Number
325/104 = (312 + 13)/104
= 312/104 + 13/104
= 3 + 13/104
= 3 13/104
325/104 = 3 13/104

Hence,
325/104 as a mixed number is 3 ¹³/₁₀₄
where,
325/104 is a given fraction,
3 ¹³/₁₀₄ is the mixed number representation of 325/104.

The below work with steps provide the detailed information about how to convert fraction 325/104 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 325/104

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 325/104.

step 2 The numerator is greater than the denominator of the fraction 325/104, so write the given fraction in the expression form in terms of denominator as like the below:
= 325/104
= 312 + 13/104
= (3 x 104) + 13/104

step 3 Make the above expression as individual fractions:
= (3 x 104)/104 + 13/104

step 4 Simplify the above expression:
= 3 x 104/104 + 13/104
= 3 + 13/104
= 3 + 1 x 13/8 x 13
= 3 + 1/8
3 + 1/8 can be written as a mixed number 3 ¹/₈.


step 5 Find the decimal equivalent for the fractional part 1/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 3 + (1/8 x 125/125)
= 3 + 125/1000

step 6 Simplify the above expression further:
= 3 + 0.125
= 3.125
325/104 = 3.125

Hence,
325/104 as a decimal is 3.125
325/104 as a mixed number is 3 ¹/₈