323/255 as a Decimal and Mixed Number

323/255 as a decimal and mixed number expansion provides the detailed information about what is 323/255 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

323/255 as a Decimal
323/255 = 1.2667
Hence,
323/255 as a decimal equals to 1.2667
where,
323/255 is a given fraction,
The decimal expansion of 323/255 is 1.2667

323/255 as a Mixed Number
323/255 = (255 + 68)/255
= 255/255 + 68/255
= 1 + 68/255
= 1 68/255
323/255 = 1 68/255

Hence,
323/255 as a mixed number is 1 ⁶⁸/₂₅₅
where,
323/255 is a given fraction,
1 ⁶⁸/₂₅₅ is the mixed number representation of 323/255.

The below work with steps provide the detailed information about how to convert fraction 323/255 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 323/255

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 323/255.

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

step 3 Make the above expression as individual fractions:
= 255/255 + 68/255

step 4 Simplify the above expression:
= 1 x 255/255 + 68/255
= 1 + 68/255
= 1 + 4 x 17/15 x 17
= 1 + 4/15
1 + 4/15 can be written as a mixed number 1 ⁴/₁₅.


step 5 Find the decimal equivalent for the fractional part 4/15 in the above expression:
= 1 + 0.2667
= 1.2667
323/255 = 1.2667

Hence,
323/255 as a decimal is 1.2667
323/255 as a mixed number is 1 ⁴/₁₅