255/68 as a Decimal and Mixed Number
255/68 as a decimal and mixed number expansion provides the detailed information about what is 255/68 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
255/68 as a Decimal
255/68 = 3.75
Hence,
255/68 as a decimal equals to 3.75
where,
255/68 is a given fraction,
The decimal expansion of 255/68 is 3.75
255/68 as a Mixed Number
255/68 = (204 + 51)/68
= 204/68 + 51/68
= 3 + 51/68
= 3 51/68
255/68 = 3 51/68
Hence,
255/68 as a mixed number is 3 51/68
where,
255/68 is a given fraction,
3 51/68 is the mixed number representation of 255/68.
How-to: 255/68 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 255/68 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 255/68
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 255/68.
step 2 The numerator is greater than the denominator of the fraction 255/68, so write the given fraction in the expression form in terms of denominator as like the below:
= 255/68
= 204 + 51/68
= (3 x 68) + 51/68
step 3 Make the above expression as individual fractions:
= (3 x 68)/68 + 51/68
step 4 Simplify the above expression:
= 3 x 68/68 + 51/68
= 3 + 51/68
= 3 + 3 x 17/4 x 17
= 3 + 3/4
3 + 3/4 can be written as a mixed number 3 3/4.
step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 3 + (3/4 x 25/25)
= 3 + 75/100
step 6 Simplify the above expression further:
= 3 + 0.75
= 3.75
255/68 = 3.75
Hence,
255/68 as a decimal is 3.75
255/68 as a mixed number is 3 3/4