258/48 as a Decimal and Mixed Number

258/48 as a decimal and mixed number expansion provides the detailed information about what is 258/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

258/48 as a Decimal
258/48 = 5.375
Hence,
258/48 as a decimal equals to 5.375
where,
258/48 is a given fraction,
The decimal expansion of 258/48 is 5.375

258/48 as a Mixed Number
258/48 = (240 + 18)/48
= 240/48 + 18/48
= 5 + 18/48
= 5 18/48
258/48 = 5 18/48

Hence,
258/48 as a mixed number is 5 ¹⁸/₄₈
where,
258/48 is a given fraction,
5 ¹⁸/₄₈ is the mixed number representation of 258/48.

The below work with steps provide the detailed information about how to convert fraction 258/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 258/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 258/48.

step 2 The numerator is greater than the denominator of the fraction 258/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 258/48
= 240 + 18/48
= (5 x 48) + 18/48

step 3 Make the above expression as individual fractions:
= (5 x 48)/48 + 18/48

step 4 Simplify the above expression:
= 5 x 48/48 + 18/48
= 5 + 18/48
= 5 + 3 x 6/8 x 6
= 5 + 3/8
5 + 3/8 can be written as a mixed number 5 ³/₈.


step 5 Find the decimal equivalent for the fractional part 3/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 5 + (3/8 x 125/125)
= 5 + 375/1000

step 6 Simplify the above expression further:
= 5 + 0.375
= 5.375
258/48 = 5.375

Hence,
258/48 as a decimal is 5.375
258/48 as a mixed number is 5 ³/₈