274/118 as a Decimal and Mixed Number

274/118 as a decimal and mixed number expansion provides the detailed information about what is 274/118 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

274/118 as a Decimal
274/118 = 2.322
Hence,
274/118 as a decimal equals to 2.322
where,
274/118 is a given fraction,
The decimal expansion of 274/118 is 2.322

274/118 as a Mixed Number
274/118 = (236 + 38)/118
= 236/118 + 38/118
= 2 + 38/118
= 2 38/118
274/118 = 2 38/118

Hence,
274/118 as a mixed number is 2 ³⁸/₁₁₈
where,
274/118 is a given fraction,
2 ³⁸/₁₁₈ is the mixed number representation of 274/118.

The below work with steps provide the detailed information about how to convert fraction 274/118 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 274/118

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 274/118.

step 2 The numerator is greater than the denominator of the fraction 274/118, so write the given fraction in the expression form in terms of denominator as like the below:
= 274/118
= 236 + 38/118
= (2 x 118) + 38/118

step 3 Make the above expression as individual fractions:
= (2 x 118)/118 + 38/118

step 4 Simplify the above expression:
= 2 x 118/118 + 38/118
= 2 + 38/118
= 2 + 19 x 2/59 x 2
= 2 + 19/59
2 + 19/59 can be written as a mixed number 2 ¹⁹/₅₉.


step 5 Find the decimal equivalent for the fractional part 19/59 in the above expression:
= 2 + 0.322
= 2.322
274/118 = 2.322

Hence,
274/118 as a decimal is 2.322
274/118 as a mixed number is 2 ¹⁹/₅₉