338/118 as a Decimal and Mixed Number

338/118 as a decimal and mixed number expansion provides the detailed information about what is 338/118 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

338/118 as a Decimal
338/118 = 2.8644
Hence,
338/118 as a decimal equals to 2.8644
where,
338/118 is a given fraction,
The decimal expansion of 338/118 is 2.8644

338/118 as a Mixed Number
338/118 = (236 + 102)/118
= 236/118 + 102/118
= 2 + 102/118
= 2 102/118
338/118 = 2 102/118

Hence,
338/118 as a mixed number is 2 ¹⁰²/₁₁₈
where,
338/118 is a given fraction,
2 ¹⁰²/₁₁₈ is the mixed number representation of 338/118.

The below work with steps provide the detailed information about how to convert fraction 338/118 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 338/118

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 338/118.

step 2 The numerator is greater than the denominator of the fraction 338/118, so write the given fraction in the expression form in terms of denominator as like the below:
= 338/118
= 236 + 102/118
= (2 x 118) + 102/118

step 3 Make the above expression as individual fractions:
= (2 x 118)/118 + 102/118

step 4 Simplify the above expression:
= 2 x 118/118 + 102/118
= 2 + 102/118
= 2 + 51 x 2/59 x 2
= 2 + 51/59
2 + 51/59 can be written as a mixed number 2 ⁵¹/₅₉.


step 5 Find the decimal equivalent for the fractional part 51/59 in the above expression:
= 2 + 0.8644
= 2.8644
338/118 = 2.8644

Hence,
338/118 as a decimal is 2.8644
338/118 as a mixed number is 2 ⁵¹/₅₉