304/23 as a Decimal and Mixed Number

304/23 as a decimal and mixed number expansion provides the detailed information about what is 304/23 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

304/23 as a Decimal
304/23 = 13.2174
Hence,
304/23 as a decimal equals to 13.2174
where,
304/23 is a given fraction,
The decimal expansion of 304/23 is 13.2174

304/23 as a Mixed Number
304/23 = (299 + 5)/23
= 299/23 + 5/23
= 13 + 5/23
= 13 5/23
304/23 = 13 5/23

Hence,
304/23 as a mixed number is 13 ⁵/₂₃
where,
304/23 is a given fraction,
13 ⁵/₂₃ is the mixed number representation of 304/23.

The below work with steps provide the detailed information about how to convert fraction 304/23 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 304/23

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 304/23.

step 2 The numerator is greater than the denominator of the fraction 304/23, so write the given fraction in the expression form in terms of denominator as like the below:
= 304/23
= 299 + 5/23
= (13 x 23) + 5/23

step 3 Make the above expression as individual fractions:
= (13 x 23)/23 + 5/23

step 4 Simplify the above expression:
= 13 x 23/23 + 5/23
= 13 + 5/23
13 + 5/23 can be written as a mixed number 13 ⁵/₂₃.


step 5 Find the decimal equivalent for the fractional part 5/23 in the above expression:
= 13 + 0.2174
= 13.2174
304/23 = 13.2174

Hence,
304/23 as a decimal is 13.2174
304/23 as a mixed number is 13 ⁵/₂₃