208/118 as a Decimal and Mixed Number

208/118 as a decimal and mixed number expansion provides the detailed information about what is 208/118 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

208/118 as a Decimal
208/118 = 1.7627
Hence,
208/118 as a decimal equals to 1.7627
where,
208/118 is a given fraction,
The decimal expansion of 208/118 is 1.7627

208/118 as a Mixed Number
208/118 = (118 + 90)/118
= 118/118 + 90/118
= 1 + 90/118
= 1 90/118
208/118 = 1 90/118

Hence,
208/118 as a mixed number is 1 ⁹⁰/₁₁₈
where,
208/118 is a given fraction,
1 ⁹⁰/₁₁₈ is the mixed number representation of 208/118.

The below work with steps provide the detailed information about how to convert fraction 208/118 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 208/118

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 208/118.

step 2 The numerator is greater than the denominator of the fraction 208/118, so write the given fraction in the expression form in terms of denominator as like the below:
= 208/118
= 118 + 90/118

step 3 Make the above expression as individual fractions:
= 118/118 + 90/118

step 4 Simplify the above expression:
= 1 x 118/118 + 90/118
= 1 + 90/118
= 1 + 45 x 2/59 x 2
= 1 + 45/59
1 + 45/59 can be written as a mixed number 1 ⁴⁵/₅₉.


step 5 Find the decimal equivalent for the fractional part 45/59 in the above expression:
= 1 + 0.7627
= 1.7627
208/118 = 1.7627

Hence,
208/118 as a decimal is 1.7627
208/118 as a mixed number is 1 ⁴⁵/₅₉