256/48 as a Decimal and Mixed Number

256/48 as a decimal and mixed number expansion provides the detailed information about what is 256/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

256/48 as a Decimal
256/48 = 5.3333
Hence,
256/48 as a decimal equals to 5.3333
where,
256/48 is a given fraction,
The decimal expansion of 256/48 is 5.3333

256/48 as a Mixed Number
256/48 = (240 + 16)/48
= 240/48 + 16/48
= 5 + 16/48
= 5 16/48
256/48 = 5 16/48

Hence,
256/48 as a mixed number is 5 ¹⁶/₄₈
where,
256/48 is a given fraction,
5 ¹⁶/₄₈ is the mixed number representation of 256/48.

The below work with steps provide the detailed information about how to convert fraction 256/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 256/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 256/48.

step 2 The numerator is greater than the denominator of the fraction 256/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 256/48
= 240 + 16/48
= (5 x 48) + 16/48

step 3 Make the above expression as individual fractions:
= (5 x 48)/48 + 16/48

step 4 Simplify the above expression:
= 5 x 48/48 + 16/48
= 5 + 16/48
= 5 + 1 x 16/3 x 16
= 5 + 1/3
5 + 1/3 can be written as a mixed number 5 ¹/₃.


step 5 Find the decimal equivalent for the fractional part 1/3 in the above expression:
= 5 + 0.3333
= 5.3333
256/48 = 5.3333

Hence,
256/48 as a decimal is 5.3333
256/48 as a mixed number is 5 ¹/₃