255/52 as a Decimal and Mixed Number

255/52 as a decimal and mixed number expansion provides the detailed information about what is 255/52 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

255/52 as a Decimal
255/52 = 4.9038
Hence,
255/52 as a decimal equals to 4.9038
where,
255/52 is a given fraction,
The decimal expansion of 255/52 is 4.9038

255/52 as a Mixed Number
255/52 = (208 + 47)/52
= 208/52 + 47/52
= 4 + 47/52
= 4 47/52
255/52 = 4 47/52

Hence,
255/52 as a mixed number is 4 ⁴⁷/₅₂
where,
255/52 is a given fraction,
4 ⁴⁷/₅₂ is the mixed number representation of 255/52.

The below work with steps provide the detailed information about how to convert fraction 255/52 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 255/52

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 255/52.

step 2 The numerator is greater than the denominator of the fraction 255/52, so write the given fraction in the expression form in terms of denominator as like the below:
= 255/52
= 208 + 47/52
= (4 x 52) + 47/52

step 3 Make the above expression as individual fractions:
= (4 x 52)/52 + 47/52

step 4 Simplify the above expression:
= 4 x 52/52 + 47/52
= 4 + 47/52
4 + 47/52 can be written as a mixed number 4 ⁴⁷/₅₂.


step 5 Find the decimal equivalent for the fractional part 47/52 in the above expression:
= 4 + 0.9038
= 4.9038
255/52 = 4.9038

Hence,
255/52 as a decimal is 4.9038
255/52 as a mixed number is 4 ⁴⁷/₅₂