208/204 as a Decimal and Mixed Number

208/204 as a decimal and mixed number expansion provides the detailed information about what is 208/204 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

208/204 as a Decimal
208/204 = 1.0196
Hence,
208/204 as a decimal equals to 1.0196
where,
208/204 is a given fraction,
The decimal expansion of 208/204 is 1.0196

208/204 as a Mixed Number
208/204 = (204 + 4)/204
= 204/204 + 4/204
= 1 + 4/204
= 1 4/204
208/204 = 1 4/204

Hence,
208/204 as a mixed number is 1 ⁴/₂₀₄
where,
208/204 is a given fraction,
1 ⁴/₂₀₄ is the mixed number representation of 208/204.

The below work with steps provide the detailed information about how to convert fraction 208/204 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 208/204

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 208/204.

step 2 The numerator is greater than the denominator of the fraction 208/204, so write the given fraction in the expression form in terms of denominator as like the below:
= 208/204
= 204 + 4/204

step 3 Make the above expression as individual fractions:
= 204/204 + 4/204

step 4 Simplify the above expression:
= 1 x 204/204 + 4/204
= 1 + 4/204
= 1 + 1 x 4/51 x 4
= 1 + 1/51
1 + 1/51 can be written as a mixed number 1 ¹/₅₁.


step 5 Find the decimal equivalent for the fractional part 1/51 in the above expression:
= 1 + 0.0196
= 1.0196
208/204 = 1.0196

Hence,
208/204 as a decimal is 1.0196
208/204 as a mixed number is 1 ¹/₅₁