325/208 as a Decimal and Mixed Number

325/208 as a decimal and mixed number expansion provides the detailed information about what is 325/208 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

325/208 as a Decimal
325/208 = 1.5625
Hence,
325/208 as a decimal equals to 1.5625
where,
325/208 is a given fraction,
The decimal expansion of 325/208 is 1.5625

325/208 as a Mixed Number
325/208 = (208 + 117)/208
= 208/208 + 117/208
= 1 + 117/208
= 1 117/208
325/208 = 1 117/208

Hence,
325/208 as a mixed number is 1 ¹¹⁷/₂₀₈
where,
325/208 is a given fraction,
1 ¹¹⁷/₂₀₈ is the mixed number representation of 325/208.

The below work with steps provide the detailed information about how to convert fraction 325/208 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 325/208

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 325/208.

step 2 The numerator is greater than the denominator of the fraction 325/208, so write the given fraction in the expression form in terms of denominator as like the below:
= 325/208
= 208 + 117/208

step 3 Make the above expression as individual fractions:
= 208/208 + 117/208

step 4 Simplify the above expression:
= 1 x 208/208 + 117/208
= 1 + 117/208
= 1 + 9 x 13/16 x 13
= 1 + 9/16
1 + 9/16 can be written as a mixed number 1 ⁹/₁₆.


step 5 Find the decimal equivalent for the fractional part 9/16 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 1 + (9/16 x 625/625)
= 1 + 5625/10000

step 6 Simplify the above expression further:
= 1 + 0.5625
= 1.5625
325/208 = 1.5625

Hence,
325/208 as a decimal is 1.5625
325/208 as a mixed number is 1 ⁹/₁₆