271/80 as a Decimal and Mixed Number

271/80 as a decimal and mixed number expansion provides the detailed information about what is 271/80 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

271/80 as a Decimal
271/80 = 3.3875
Hence,
271/80 as a decimal equals to 3.3875
where,
271/80 is a given fraction,
The decimal expansion of 271/80 is 3.3875

271/80 as a Mixed Number
271/80 = (240 + 31)/80
= 240/80 + 31/80
= 3 + 31/80
= 3 31/80
271/80 = 3 31/80

Hence,
271/80 as a mixed number is 3 ³¹/₈₀
where,
271/80 is a given fraction,
3 ³¹/₈₀ is the mixed number representation of 271/80.

The below work with steps provide the detailed information about how to convert fraction 271/80 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 271/80

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 271/80.

step 2 The numerator is greater than the denominator of the fraction 271/80, so write the given fraction in the expression form in terms of denominator as like the below:
= 271/80
= 240 + 31/80
= (3 x 80) + 31/80

step 3 Make the above expression as individual fractions:
= (3 x 80)/80 + 31/80

step 4 Simplify the above expression:
= 3 x 80/80 + 31/80
= 3 + 31/80
3 + 31/80 can be written as a mixed number 3 ³¹/₈₀.


step 5 Find the decimal equivalent for the fractional part 31/80 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 3 + (31/80 x 125/125)
= 3 + 3875/10000

step 6 Simplify the above expression further:
= 3 + 0.3875
= 3.3875
271/80 = 3.3875

Hence,
271/80 as a decimal is 3.3875
271/80 as a mixed number is 3 ³¹/₈₀