273/6 as a Decimal and Mixed Number

273/6 as a decimal and mixed number expansion provides the detailed information about what is 273/6 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

273/6 as a Decimal
273/6 = 45.5
Hence,
273/6 as a decimal equals to 45.5
where,
273/6 is a given fraction,
The decimal expansion of 273/6 is 45.5

273/6 as a Mixed Number
273/6 = (270 + 3)/6
= 270/6 + 3/6
= 45 + 3/6
= 45 3/6
273/6 = 45 3/6

Hence,
273/6 as a mixed number is 45 ³/₆
where,
273/6 is a given fraction,
45 ³/₆ is the mixed number representation of 273/6.

The below work with steps provide the detailed information about how to convert fraction 273/6 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 273/6

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 273/6.

step 2 The numerator is greater than the denominator of the fraction 273/6, so write the given fraction in the expression form in terms of denominator as like the below:
= 273/6
= 270 + 3/6
= (45 x 6) + 3/6

step 3 Make the above expression as individual fractions:
= (45 x 6)/6 + 3/6

step 4 Simplify the above expression:
= 45 x 6/6 + 3/6
= 45 + 3/6
= 45 + 1 x 3/2 x 3
= 45 + 1/2
45 + 1/2 can be written as a mixed number 45 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 45 + (1/2 x 5/5)
= 45 + 5/10

step 6 Simplify the above expression further:
= 45 + 0.5
= 45.5
273/6 = 45.5

Hence,
273/6 as a decimal is 45.5
273/6 as a mixed number is 45 ¹/₂