272/55 as a Decimal and Mixed Number

272/55 as a decimal and mixed number expansion provides the detailed information about what is 272/55 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

272/55 as a Decimal
272/55 = 4.9455
Hence,
272/55 as a decimal equals to 4.9455
where,
272/55 is a given fraction,
The decimal expansion of 272/55 is 4.9455

272/55 as a Mixed Number
272/55 = (220 + 52)/55
= 220/55 + 52/55
= 4 + 52/55
= 4 52/55
272/55 = 4 52/55

Hence,
272/55 as a mixed number is 4 ⁵²/₅₅
where,
272/55 is a given fraction,
4 ⁵²/₅₅ is the mixed number representation of 272/55.

The below work with steps provide the detailed information about how to convert fraction 272/55 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 272/55

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 272/55.

step 2 The numerator is greater than the denominator of the fraction 272/55, so write the given fraction in the expression form in terms of denominator as like the below:
= 272/55
= 220 + 52/55
= (4 x 55) + 52/55

step 3 Make the above expression as individual fractions:
= (4 x 55)/55 + 52/55

step 4 Simplify the above expression:
= 4 x 55/55 + 52/55
= 4 + 52/55
4 + 52/55 can be written as a mixed number 4 ⁵²/₅₅.


step 5 Find the decimal equivalent for the fractional part 52/55 in the above expression:
= 4 + 0.9455
= 4.9455
272/55 = 4.9455

Hence,
272/55 as a decimal is 4.9455
272/55 as a mixed number is 4 ⁵²/₅₅