304/55 as a Decimal and Mixed Number

304/55 as a decimal and mixed number expansion provides the detailed information about what is 304/55 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

304/55 as a Decimal
304/55 = 5.5273
Hence,
304/55 as a decimal equals to 5.5273
where,
304/55 is a given fraction,
The decimal expansion of 304/55 is 5.5273

304/55 as a Mixed Number
304/55 = (275 + 29)/55
= 275/55 + 29/55
= 5 + 29/55
= 5 29/55
304/55 = 5 29/55

Hence,
304/55 as a mixed number is 5 ²⁹/₅₅
where,
304/55 is a given fraction,
5 ²⁹/₅₅ is the mixed number representation of 304/55.

The below work with steps provide the detailed information about how to convert fraction 304/55 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 304/55

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 304/55.

step 2 The numerator is greater than the denominator of the fraction 304/55, so write the given fraction in the expression form in terms of denominator as like the below:
= 304/55
= 275 + 29/55
= (5 x 55) + 29/55

step 3 Make the above expression as individual fractions:
= (5 x 55)/55 + 29/55

step 4 Simplify the above expression:
= 5 x 55/55 + 29/55
= 5 + 29/55
5 + 29/55 can be written as a mixed number 5 ²⁹/₅₅.


step 5 Find the decimal equivalent for the fractional part 29/55 in the above expression:
= 5 + 0.5273
= 5.5273
304/55 = 5.5273

Hence,
304/55 as a decimal is 5.5273
304/55 as a mixed number is 5 ²⁹/₅₅