208/84 as a Decimal and Mixed Number

208/84 as a decimal and mixed number expansion provides the detailed information about what is 208/84 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

208/84 as a Decimal
208/84 = 2.4762
Hence,
208/84 as a decimal equals to 2.4762
where,
208/84 is a given fraction,
The decimal expansion of 208/84 is 2.4762

208/84 as a Mixed Number
208/84 = (168 + 40)/84
= 168/84 + 40/84
= 2 + 40/84
= 2 40/84
208/84 = 2 40/84

Hence,
208/84 as a mixed number is 2 ⁴⁰/₈₄
where,
208/84 is a given fraction,
2 ⁴⁰/₈₄ is the mixed number representation of 208/84.

The below work with steps provide the detailed information about how to convert fraction 208/84 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 208/84

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 208/84.

step 2 The numerator is greater than the denominator of the fraction 208/84, so write the given fraction in the expression form in terms of denominator as like the below:
= 208/84
= 168 + 40/84
= (2 x 84) + 40/84

step 3 Make the above expression as individual fractions:
= (2 x 84)/84 + 40/84

step 4 Simplify the above expression:
= 2 x 84/84 + 40/84
= 2 + 40/84
= 2 + 10 x 4/21 x 4
= 2 + 10/21
2 + 10/21 can be written as a mixed number 2 ¹⁰/₂₁.


step 5 Find the decimal equivalent for the fractional part 10/21 in the above expression:
= 2 + 0.4762
= 2.4762
208/84 = 2.4762

Hence,
208/84 as a decimal is 2.4762
208/84 as a mixed number is 2 ¹⁰/₂₁