298/258 as a Decimal and Mixed Number

298/258 as a decimal and mixed number expansion provides the detailed information about what is 298/258 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

298/258 as a Decimal
298/258 = 1.155
Hence,
298/258 as a decimal equals to 1.155
where,
298/258 is a given fraction,
The decimal expansion of 298/258 is 1.155

298/258 as a Mixed Number
298/258 = (258 + 40)/258
= 258/258 + 40/258
= 1 + 40/258
= 1 40/258
298/258 = 1 40/258

Hence,
298/258 as a mixed number is 1 ⁴⁰/₂₅₈
where,
298/258 is a given fraction,
1 ⁴⁰/₂₅₈ is the mixed number representation of 298/258.

The below work with steps provide the detailed information about how to convert fraction 298/258 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 298/258

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 298/258.

step 2 The numerator is greater than the denominator of the fraction 298/258, so write the given fraction in the expression form in terms of denominator as like the below:
= 298/258
= 258 + 40/258

step 3 Make the above expression as individual fractions:
= 258/258 + 40/258

step 4 Simplify the above expression:
= 1 x 258/258 + 40/258
= 1 + 40/258
= 1 + 20 x 2/129 x 2
= 1 + 20/129
1 + 20/129 can be written as a mixed number 1 ²⁰/₁₂₉.


step 5 Find the decimal equivalent for the fractional part 20/129 in the above expression:
= 1 + 0.155
= 1.155
298/258 = 1.155

Hence,
298/258 as a decimal is 1.155
298/258 as a mixed number is 1 ²⁰/₁₂₉