209/208 as a Decimal and Mixed Number

209/208 as a decimal and mixed number expansion provides the detailed information about what is 209/208 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

209/208 as a Decimal
209/208 = 1.0048
Hence,
209/208 as a decimal equals to 1.0048
where,
209/208 is a given fraction,
The decimal expansion of 209/208 is 1.0048

209/208 as a Mixed Number
209/208 = (208 + 1)/208
= 208/208 + 1/208
= 1 + 1/208
= 1 1/208
209/208 = 1 1/208

Hence,
209/208 as a mixed number is 1 ¹/₂₀₈
where,
209/208 is a given fraction,
1 ¹/₂₀₈ is the mixed number representation of 209/208.

The below work with steps provide the detailed information about how to convert fraction 209/208 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 209/208

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 209/208.

step 2 The numerator is greater than the denominator of the fraction 209/208, so write the given fraction in the expression form in terms of denominator as like the below:
= 209/208
= 208 + 1/208

step 3 Make the above expression as individual fractions:
= 208/208 + 1/208

step 4 Simplify the above expression:
= 1 + 1/208
1 + 1/208 can be written as a mixed number 1 ¹/₂₀₈


step 5 Find the decimal equivalent for the fractional part 1/208 in the above expression:
= 1 + 0.0048
= 1.0048
209/208 = 1.0048

Hence,
209/208 as a decimal is 1.0048
209/208 as a mixed number is 1 ¹/₂₀₈