255/48 as a Decimal and Mixed Number

255/48 as a decimal and mixed number expansion provides the detailed information about what is 255/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

255/48 as a Decimal
255/48 = 5.3125
Hence,
255/48 as a decimal equals to 5.3125
where,
255/48 is a given fraction,
The decimal expansion of 255/48 is 5.3125

255/48 as a Mixed Number
255/48 = (240 + 15)/48
= 240/48 + 15/48
= 5 + 15/48
= 5 15/48
255/48 = 5 15/48

Hence,
255/48 as a mixed number is 5 ¹⁵/₄₈
where,
255/48 is a given fraction,
5 ¹⁵/₄₈ is the mixed number representation of 255/48.

The below work with steps provide the detailed information about how to convert fraction 255/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 255/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 255/48.

step 2 The numerator is greater than the denominator of the fraction 255/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 255/48
= 240 + 15/48
= (5 x 48) + 15/48

step 3 Make the above expression as individual fractions:
= (5 x 48)/48 + 15/48

step 4 Simplify the above expression:
= 5 x 48/48 + 15/48
= 5 + 15/48
= 5 + 5 x 3/16 x 3
= 5 + 5/16
5 + 5/16 can be written as a mixed number 5 ⁵/₁₆.


step 5 Find the decimal equivalent for the fractional part 5/16 in the above expression:
Multiply both numerator and denominator by 625 to make the denominator as powers of 10:
= 5 + (5/16 x 625/625)
= 5 + 3125/10000

step 6 Simplify the above expression further:
= 5 + 0.3125
= 5.3125
255/48 = 5.3125

Hence,
255/48 as a decimal is 5.3125
255/48 as a mixed number is 5 ⁵/₁₆