255/204 as a Decimal and Mixed Number

255/204 as a decimal and mixed number expansion provides the detailed information about what is 255/204 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

255/204 as a Decimal
255/204 = 1.25
Hence,
255/204 as a decimal equals to 1.25
where,
255/204 is a given fraction,
The decimal expansion of 255/204 is 1.25

255/204 as a Mixed Number
255/204 = (204 + 51)/204
= 204/204 + 51/204
= 1 + 51/204
= 1 51/204
255/204 = 1 51/204

Hence,
255/204 as a mixed number is 1 ⁵¹/₂₀₄
where,
255/204 is a given fraction,
1 ⁵¹/₂₀₄ is the mixed number representation of 255/204.

The below work with steps provide the detailed information about how to convert fraction 255/204 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 255/204

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 255/204.

step 2 The numerator is greater than the denominator of the fraction 255/204, so write the given fraction in the expression form in terms of denominator as like the below:
= 255/204
= 204 + 51/204

step 3 Make the above expression as individual fractions:
= 204/204 + 51/204

step 4 Simplify the above expression:
= 1 x 204/204 + 51/204
= 1 + 51/204
= 1 + 1 x 51/4 x 51
= 1 + 1/4
1 + 1/4 can be written as a mixed number 1 ¹/₄.


step 5 Find the decimal equivalent for the fractional part 1/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 1 + (1/4 x 25/25)
= 1 + 25/100

step 6 Simplify the above expression further:
= 1 + 0.25
= 1.25
255/204 = 1.25

Hence,
255/204 as a decimal is 1.25
255/204 as a mixed number is 1 ¹/₄