268/48 as a Decimal and Mixed Number

268/48 as a decimal and mixed number expansion provides the detailed information about what is 268/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

268/48 as a Decimal
268/48 = 5.5833
Hence,
268/48 as a decimal equals to 5.5833
where,
268/48 is a given fraction,
The decimal expansion of 268/48 is 5.5833

268/48 as a Mixed Number
268/48 = (240 + 28)/48
= 240/48 + 28/48
= 5 + 28/48
= 5 28/48
268/48 = 5 28/48

Hence,
268/48 as a mixed number is 5 ²⁸/₄₈
where,
268/48 is a given fraction,
5 ²⁸/₄₈ is the mixed number representation of 268/48.

The below work with steps provide the detailed information about how to convert fraction 268/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 268/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 268/48.

step 2 The numerator is greater than the denominator of the fraction 268/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 268/48
= 240 + 28/48
= (5 x 48) + 28/48

step 3 Make the above expression as individual fractions:
= (5 x 48)/48 + 28/48

step 4 Simplify the above expression:
= 5 x 48/48 + 28/48
= 5 + 28/48
= 5 + 7 x 4/12 x 4
= 5 + 7/12
5 + 7/12 can be written as a mixed number 5 ⁷/₁₂.


step 5 Find the decimal equivalent for the fractional part 7/12 in the above expression:
= 5 + 0.5833
= 5.5833
268/48 = 5.5833

Hence,
268/48 as a decimal is 5.5833
268/48 as a mixed number is 5 ⁷/₁₂