284/48 as a Decimal and Mixed Number

284/48 as a decimal and mixed number expansion provides the detailed information about what is 284/48 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

284/48 as a Decimal
284/48 = 5.9167
Hence,
284/48 as a decimal equals to 5.9167
where,
284/48 is a given fraction,
The decimal expansion of 284/48 is 5.9167

284/48 as a Mixed Number
284/48 = (240 + 44)/48
= 240/48 + 44/48
= 5 + 44/48
= 5 44/48
284/48 = 5 44/48

Hence,
284/48 as a mixed number is 5 ⁴⁴/₄₈
where,
284/48 is a given fraction,
5 ⁴⁴/₄₈ is the mixed number representation of 284/48.

The below work with steps provide the detailed information about how to convert fraction 284/48 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 284/48

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 284/48.

step 2 The numerator is greater than the denominator of the fraction 284/48, so write the given fraction in the expression form in terms of denominator as like the below:
= 284/48
= 240 + 44/48
= (5 x 48) + 44/48

step 3 Make the above expression as individual fractions:
= (5 x 48)/48 + 44/48

step 4 Simplify the above expression:
= 5 x 48/48 + 44/48
= 5 + 44/48
= 5 + 11 x 4/12 x 4
= 5 + 11/12
5 + 11/12 can be written as a mixed number 5 ¹¹/₁₂.


step 5 Find the decimal equivalent for the fractional part 11/12 in the above expression:
= 5 + 0.9167
= 5.9167
284/48 = 5.9167

Hence,
284/48 as a decimal is 5.9167
284/48 as a mixed number is 5 ¹¹/₁₂