260/255 as a Decimal and Mixed Number

260/255 as a decimal and mixed number expansion provides the detailed information about what is 260/255 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

260/255 as a Decimal
260/255 = 1.0196
Hence,
260/255 as a decimal equals to 1.0196
where,
260/255 is a given fraction,
The decimal expansion of 260/255 is 1.0196

260/255 as a Mixed Number
260/255 = (255 + 5)/255
= 255/255 + 5/255
= 1 + 5/255
= 1 5/255
260/255 = 1 5/255

Hence,
260/255 as a mixed number is 1 ⁵/₂₅₅
where,
260/255 is a given fraction,
1 ⁵/₂₅₅ is the mixed number representation of 260/255.

The below work with steps provide the detailed information about how to convert fraction 260/255 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 260/255

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 260/255.

step 2 The numerator is greater than the denominator of the fraction 260/255, so write the given fraction in the expression form in terms of denominator as like the below:
= 260/255
= 255 + 5/255

step 3 Make the above expression as individual fractions:
= 255/255 + 5/255

step 4 Simplify the above expression:
= 1 x 255/255 + 5/255
= 1 + 5/255
= 1 + 1 x 5/51 x 5
= 1 + 1/51
1 + 1/51 can be written as a mixed number 1 ¹/₅₁.


step 5 Find the decimal equivalent for the fractional part 1/51 in the above expression:
= 1 + 0.0196
= 1.0196
260/255 = 1.0196

Hence,
260/255 as a decimal is 1.0196
260/255 as a mixed number is 1 ¹/₅₁