272/85 as a Decimal and Mixed Number

272/85 as a decimal and mixed number expansion provides the detailed information about what is 272/85 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

272/85 as a Decimal
272/85 = 3.2
Hence,
272/85 as a decimal equals to 3.2
where,
272/85 is a given fraction,
The decimal expansion of 272/85 is 3.2

272/85 as a Mixed Number
272/85 = (255 + 17)/85
= 255/85 + 17/85
= 3 + 17/85
= 3 17/85
272/85 = 3 17/85

Hence,
272/85 as a mixed number is 3 ¹⁷/₈₅
where,
272/85 is a given fraction,
3 ¹⁷/₈₅ is the mixed number representation of 272/85.

The below work with steps provide the detailed information about how to convert fraction 272/85 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 272/85

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 272/85.

step 2 The numerator is greater than the denominator of the fraction 272/85, so write the given fraction in the expression form in terms of denominator as like the below:
= 272/85
= 255 + 17/85
= (3 x 85) + 17/85

step 3 Make the above expression as individual fractions:
= (3 x 85)/85 + 17/85

step 4 Simplify the above expression:
= 3 x 85/85 + 17/85
= 3 + 17/85
= 3 + 1 x 17/5 x 17
= 3 + 1/5
3 + 1/5 can be written as a mixed number 3 ¹/₅.


step 5 Find the decimal equivalent for the fractional part 1/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 3 + (1/5 x 2/2)
= 3 + 2/10

step 6 Simplify the above expression further:
= 3 + 0.2
= 3.2
272/85 = 3.2

Hence,
272/85 as a decimal is 3.2
272/85 as a mixed number is 3 ¹/₅