273/60 as a Decimal and Mixed Number

273/60 as a decimal and mixed number expansion provides the detailed information about what is 273/60 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

273/60 as a Decimal
273/60 = 4.55
Hence,
273/60 as a decimal equals to 4.55
where,
273/60 is a given fraction,
The decimal expansion of 273/60 is 4.55

273/60 as a Mixed Number
273/60 = (240 + 33)/60
= 240/60 + 33/60
= 4 + 33/60
= 4 33/60
273/60 = 4 33/60

Hence,
273/60 as a mixed number is 4 ³³/₆₀
where,
273/60 is a given fraction,
4 ³³/₆₀ is the mixed number representation of 273/60.

The below work with steps provide the detailed information about how to convert fraction 273/60 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 273/60

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 273/60.

step 2 The numerator is greater than the denominator of the fraction 273/60, so write the given fraction in the expression form in terms of denominator as like the below:
= 273/60
= 240 + 33/60
= (4 x 60) + 33/60

step 3 Make the above expression as individual fractions:
= (4 x 60)/60 + 33/60

step 4 Simplify the above expression:
= 4 x 60/60 + 33/60
= 4 + 33/60
= 4 + 11 x 3/20 x 3
= 4 + 11/20
4 + 11/20 can be written as a mixed number 4 ¹¹/₂₀.


step 5 Find the decimal equivalent for the fractional part 11/20 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 4 + (11/20 x 5/5)
= 4 + 55/100

step 6 Simplify the above expression further:
= 4 + 0.55
= 4.55
273/60 = 4.55

Hence,
273/60 as a decimal is 4.55
273/60 as a mixed number is 4 ¹¹/₂₀