257/255 as a Decimal and Mixed Number

257/255 as a decimal and mixed number expansion provides the detailed information about what is 257/255 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

257/255 as a Decimal
257/255 = 1.0078
Hence,
257/255 as a decimal equals to 1.0078
where,
257/255 is a given fraction,
The decimal expansion of 257/255 is 1.0078

257/255 as a Mixed Number
257/255 = (255 + 2)/255
= 255/255 + 2/255
= 1 + 2/255
= 1 2/255
257/255 = 1 2/255

Hence,
257/255 as a mixed number is 1 ²/₂₅₅
where,
257/255 is a given fraction,
1 ²/₂₅₅ is the mixed number representation of 257/255.

The below work with steps provide the detailed information about how to convert fraction 257/255 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 257/255

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 257/255.

step 2 The numerator is greater than the denominator of the fraction 257/255, so write the given fraction in the expression form in terms of denominator as like the below:
= 257/255
= 255 + 2/255

step 3 Make the above expression as individual fractions:
= 255/255 + 2/255

step 4 Simplify the above expression:
= 1 x 255/255 + 2/255
= 1 + 2/255
1 + 2/255 can be written as a mixed number 1 ²/₂₅₅.


step 5 Find the decimal equivalent for the fractional part 2/255 in the above expression:
= 1 + 0.0078
= 1.0078
257/255 = 1.0078

Hence,
257/255 as a decimal is 1.0078
257/255 as a mixed number is 1 ²/₂₅₅