304/52 as a Decimal and Mixed Number

304/52 as a decimal and mixed number expansion provides the detailed information about what is 304/52 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

304/52 as a Decimal
304/52 = 5.8462
Hence,
304/52 as a decimal equals to 5.8462
where,
304/52 is a given fraction,
The decimal expansion of 304/52 is 5.8462

304/52 as a Mixed Number
304/52 = (260 + 44)/52
= 260/52 + 44/52
= 5 + 44/52
= 5 44/52
304/52 = 5 44/52

Hence,
304/52 as a mixed number is 5 ⁴⁴/₅₂
where,
304/52 is a given fraction,
5 ⁴⁴/₅₂ is the mixed number representation of 304/52.

The below work with steps provide the detailed information about how to convert fraction 304/52 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 304/52

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 304/52.

step 2 The numerator is greater than the denominator of the fraction 304/52, so write the given fraction in the expression form in terms of denominator as like the below:
= 304/52
= 260 + 44/52
= (5 x 52) + 44/52

step 3 Make the above expression as individual fractions:
= (5 x 52)/52 + 44/52

step 4 Simplify the above expression:
= 5 x 52/52 + 44/52
= 5 + 44/52
= 5 + 11 x 4/13 x 4
= 5 + 11/13
5 + 11/13 can be written as a mixed number 5 ¹¹/₁₃.


step 5 Find the decimal equivalent for the fractional part 11/13 in the above expression:
= 5 + 0.8462
= 5.8462
304/52 = 5.8462

Hence,
304/52 as a decimal is 5.8462
304/52 as a mixed number is 5 ¹¹/₁₃