272/80 as a Decimal and Mixed Number

272/80 as a decimal and mixed number expansion provides the detailed information about what is 272/80 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

272/80 as a Decimal
272/80 = 3.4
Hence,
272/80 as a decimal equals to 3.4
where,
272/80 is a given fraction,
The decimal expansion of 272/80 is 3.4

272/80 as a Mixed Number
272/80 = (240 + 32)/80
= 240/80 + 32/80
= 3 + 32/80
= 3 32/80
272/80 = 3 32/80

Hence,
272/80 as a mixed number is 3 ³²/₈₀
where,
272/80 is a given fraction,
3 ³²/₈₀ is the mixed number representation of 272/80.

The below work with steps provide the detailed information about how to convert fraction 272/80 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 272/80

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 272/80.

step 2 The numerator is greater than the denominator of the fraction 272/80, so write the given fraction in the expression form in terms of denominator as like the below:
= 272/80
= 240 + 32/80
= (3 x 80) + 32/80

step 3 Make the above expression as individual fractions:
= (3 x 80)/80 + 32/80

step 4 Simplify the above expression:
= 3 x 80/80 + 32/80
= 3 + 32/80
= 3 + 2 x 16/5 x 16
= 3 + 2/5
3 + 2/5 can be written as a mixed number 3 ²/₅.


step 5 Find the decimal equivalent for the fractional part 2/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 3 + (2/5 x 2/2)
= 3 + 4/10

step 6 Simplify the above expression further:
= 3 + 0.4
= 3.4
272/80 = 3.4

Hence,
272/80 as a decimal is 3.4
272/80 as a mixed number is 3 ²/₅