302/23 as a Decimal and Mixed Number

302/23 as a decimal and mixed number expansion provides the detailed information about what is 302/23 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

302/23 as a Decimal
302/23 = 13.1304
Hence,
302/23 as a decimal equals to 13.1304
where,
302/23 is a given fraction,
The decimal expansion of 302/23 is 13.1304

302/23 as a Mixed Number
302/23 = (299 + 3)/23
= 299/23 + 3/23
= 13 + 3/23
= 13 3/23
302/23 = 13 3/23

Hence,
302/23 as a mixed number is 13 ³/₂₃
where,
302/23 is a given fraction,
13 ³/₂₃ is the mixed number representation of 302/23.

The below work with steps provide the detailed information about how to convert fraction 302/23 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 302/23

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 302/23.

step 2 The numerator is greater than the denominator of the fraction 302/23, so write the given fraction in the expression form in terms of denominator as like the below:
= 302/23
= 299 + 3/23
= (13 x 23) + 3/23

step 3 Make the above expression as individual fractions:
= (13 x 23)/23 + 3/23

step 4 Simplify the above expression:
= 13 x 23/23 + 3/23
= 13 + 3/23
13 + 3/23 can be written as a mixed number 13 ³/₂₃.


step 5 Find the decimal equivalent for the fractional part 3/23 in the above expression:
= 13 + 0.1304
= 13.1304
302/23 = 13.1304

Hence,
302/23 as a decimal is 13.1304
302/23 as a mixed number is 13 ³/₂₃