323/85 as a Decimal and Mixed Number

323/85 as a decimal and mixed number expansion provides the detailed information about what is 323/85 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

323/85 as a Decimal
323/85 = 3.8
Hence,
323/85 as a decimal equals to 3.8
where,
323/85 is a given fraction,
The decimal expansion of 323/85 is 3.8

323/85 as a Mixed Number
323/85 = (255 + 68)/85
= 255/85 + 68/85
= 3 + 68/85
= 3 68/85
323/85 = 3 68/85

Hence,
323/85 as a mixed number is 3 ⁶⁸/₈₅
where,
323/85 is a given fraction,
3 ⁶⁸/₈₅ is the mixed number representation of 323/85.

The below work with steps provide the detailed information about how to convert fraction 323/85 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 323/85

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 323/85.

step 2 The numerator is greater than the denominator of the fraction 323/85, so write the given fraction in the expression form in terms of denominator as like the below:
= 323/85
= 255 + 68/85
= (3 x 85) + 68/85

step 3 Make the above expression as individual fractions:
= (3 x 85)/85 + 68/85

step 4 Simplify the above expression:
= 3 x 85/85 + 68/85
= 3 + 68/85
= 3 + 4 x 17/5 x 17
= 3 + 4/5
3 + 4/5 can be written as a mixed number 3 ⁴/₅.


step 5 Find the decimal equivalent for the fractional part 4/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 3 + (4/5 x 2/2)
= 3 + 8/10

step 6 Simplify the above expression further:
= 3 + 0.8
= 3.8
323/85 = 3.8

Hence,
323/85 as a decimal is 3.8
323/85 as a mixed number is 3 ⁴/₅