255/76 as a Decimal and Mixed Number

255/76 as a decimal and mixed number expansion provides the detailed information about what is 255/76 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

255/76 as a Decimal
255/76 = 3.3553
Hence,
255/76 as a decimal equals to 3.3553
where,
255/76 is a given fraction,
The decimal expansion of 255/76 is 3.3553

255/76 as a Mixed Number
255/76 = (228 + 27)/76
= 228/76 + 27/76
= 3 + 27/76
= 3 27/76
255/76 = 3 27/76

Hence,
255/76 as a mixed number is 3 ²⁷/₇₆
where,
255/76 is a given fraction,
3 ²⁷/₇₆ is the mixed number representation of 255/76.

The below work with steps provide the detailed information about how to convert fraction 255/76 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 255/76

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 255/76.

step 2 The numerator is greater than the denominator of the fraction 255/76, so write the given fraction in the expression form in terms of denominator as like the below:
= 255/76
= 228 + 27/76
= (3 x 76) + 27/76

step 3 Make the above expression as individual fractions:
= (3 x 76)/76 + 27/76

step 4 Simplify the above expression:
= 3 x 76/76 + 27/76
= 3 + 27/76
3 + 27/76 can be written as a mixed number 3 ²⁷/₇₆.


step 5 Find the decimal equivalent for the fractional part 27/76 in the above expression:
= 3 + 0.3553
= 3.3553
255/76 = 3.3553

Hence,
255/76 as a decimal is 3.3553
255/76 as a mixed number is 3 ²⁷/₇₆