255/6 as a Decimal and Mixed Number

255/6 as a decimal and mixed number expansion provides the detailed information about what is 255/6 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

255/6 as a Decimal
255/6 = 42.5
Hence,
255/6 as a decimal equals to 42.5
where,
255/6 is a given fraction,
The decimal expansion of 255/6 is 42.5

255/6 as a Mixed Number
255/6 = (252 + 3)/6
= 252/6 + 3/6
= 42 + 3/6
= 42 3/6
255/6 = 42 3/6

Hence,
255/6 as a mixed number is 42 ³/₆
where,
255/6 is a given fraction,
42 ³/₆ is the mixed number representation of 255/6.

The below work with steps provide the detailed information about how to convert fraction 255/6 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 255/6

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 255/6.

step 2 The numerator is greater than the denominator of the fraction 255/6, so write the given fraction in the expression form in terms of denominator as like the below:
= 255/6
= 252 + 3/6
= (42 x 6) + 3/6

step 3 Make the above expression as individual fractions:
= (42 x 6)/6 + 3/6

step 4 Simplify the above expression:
= 42 x 6/6 + 3/6
= 42 + 3/6
= 42 + 1 x 3/2 x 3
= 42 + 1/2
42 + 1/2 can be written as a mixed number 42 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 42 + (1/2 x 5/5)
= 42 + 5/10

step 6 Simplify the above expression further:
= 42 + 0.5
= 42.5
255/6 = 42.5

Hence,
255/6 as a decimal is 42.5
255/6 as a mixed number is 42 ¹/₂