328/238 as a Decimal and Mixed Number

328/238 as a decimal and mixed number expansion provides the detailed information about what is 328/238 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

328/238 as a Decimal
328/238 = 1.3782
Hence,
328/238 as a decimal equals to 1.3782
where,
328/238 is a given fraction,
The decimal expansion of 328/238 is 1.3782

328/238 as a Mixed Number
328/238 = (238 + 90)/238
= 238/238 + 90/238
= 1 + 90/238
= 1 90/238
328/238 = 1 90/238

Hence,
328/238 as a mixed number is 1 ⁹⁰/₂₃₈
where,
328/238 is a given fraction,
1 ⁹⁰/₂₃₈ is the mixed number representation of 328/238.

The below work with steps provide the detailed information about how to convert fraction 328/238 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 328/238

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 328/238.

step 2 The numerator is greater than the denominator of the fraction 328/238, so write the given fraction in the expression form in terms of denominator as like the below:
= 328/238
= 238 + 90/238

step 3 Make the above expression as individual fractions:
= 238/238 + 90/238

step 4 Simplify the above expression:
= 1 x 238/238 + 90/238
= 1 + 90/238
= 1 + 45 x 2/119 x 2
= 1 + 45/119
1 + 45/119 can be written as a mixed number 1 ⁴⁵/₁₁₉.


step 5 Find the decimal equivalent for the fractional part 45/119 in the above expression:
= 1 + 0.3782
= 1.3782
328/238 = 1.3782

Hence,
328/238 as a decimal is 1.3782
328/238 as a mixed number is 1 ⁴⁵/₁₁₉