296/238 as a Decimal and Mixed Number

296/238 as a decimal and mixed number expansion provides the detailed information about what is 296/238 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

296/238 as a Decimal
296/238 = 1.2437
Hence,
296/238 as a decimal equals to 1.2437
where,
296/238 is a given fraction,
The decimal expansion of 296/238 is 1.2437

296/238 as a Mixed Number
296/238 = (238 + 58)/238
= 238/238 + 58/238
= 1 + 58/238
= 1 58/238
296/238 = 1 58/238

Hence,
296/238 as a mixed number is 1 ⁵⁸/₂₃₈
where,
296/238 is a given fraction,
1 ⁵⁸/₂₃₈ is the mixed number representation of 296/238.

The below work with steps provide the detailed information about how to convert fraction 296/238 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 296/238

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 296/238.

step 2 The numerator is greater than the denominator of the fraction 296/238, so write the given fraction in the expression form in terms of denominator as like the below:
= 296/238
= 238 + 58/238

step 3 Make the above expression as individual fractions:
= 238/238 + 58/238

step 4 Simplify the above expression:
= 1 x 238/238 + 58/238
= 1 + 58/238
= 1 + 29 x 2/119 x 2
= 1 + 29/119
1 + 29/119 can be written as a mixed number 1 ²⁹/₁₁₉.


step 5 Find the decimal equivalent for the fractional part 29/119 in the above expression:
= 1 + 0.2437
= 1.2437
296/238 = 1.2437

Hence,
296/238 as a decimal is 1.2437
296/238 as a mixed number is 1 ²⁹/₁₁₉