298/23 as a Decimal and Mixed Number

298/23 as a decimal and mixed number expansion provides the detailed information about what is 298/23 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

298/23 as a Decimal
298/23 = 12.9565
Hence,
298/23 as a decimal equals to 12.9565
where,
298/23 is a given fraction,
The decimal expansion of 298/23 is 12.9565

298/23 as a Mixed Number
298/23 = (276 + 22)/23
= 276/23 + 22/23
= 12 + 22/23
= 12 22/23
298/23 = 12 22/23

Hence,
298/23 as a mixed number is 12 ²²/₂₃
where,
298/23 is a given fraction,
12 ²²/₂₃ is the mixed number representation of 298/23.

The below work with steps provide the detailed information about how to convert fraction 298/23 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 298/23

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 298/23.

step 2 The numerator is greater than the denominator of the fraction 298/23, so write the given fraction in the expression form in terms of denominator as like the below:
= 298/23
= 276 + 22/23
= (12 x 23) + 22/23

step 3 Make the above expression as individual fractions:
= (12 x 23)/23 + 22/23

step 4 Simplify the above expression:
= 12 x 23/23 + 22/23
= 12 + 22/23
12 + 22/23 can be written as a mixed number 12 ²²/₂₃.


step 5 Find the decimal equivalent for the fractional part 22/23 in the above expression:
= 12 + 0.9565
= 12.9565
298/23 = 12.9565

Hence,
298/23 as a decimal is 12.9565
298/23 as a mixed number is 12 ²²/₂₃