248/30 as a Decimal and Mixed Number

248/30 as a decimal and mixed number expansion provides the detailed information about what is 248/30 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

248/30 as a Decimal
248/30 = 8.2667
Hence,
248/30 as a decimal equals to 8.2667
where,
248/30 is a given fraction,
The decimal expansion of 248/30 is 8.2667

248/30 as a Mixed Number
248/30 = (240 + 8)/30
= 240/30 + 8/30
= 8 + 8/30
= 8 8/30
248/30 = 8 8/30

Hence,
248/30 as a mixed number is 8 ⁸/₃₀
where,
248/30 is a given fraction,
8 ⁸/₃₀ is the mixed number representation of 248/30.

The below work with steps provide the detailed information about how to convert fraction 248/30 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 248/30

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 248/30.

step 2 The numerator is greater than the denominator of the fraction 248/30, so write the given fraction in the expression form in terms of denominator as like the below:
= 248/30
= 240 + 8/30
= (8 x 30) + 8/30

step 3 Make the above expression as individual fractions:
= (8 x 30)/30 + 8/30

step 4 Simplify the above expression:
= 8 x 30/30 + 8/30
= 8 + 8/30
= 8 + 4 x 2/15 x 2
= 8 + 4/15
8 + 4/15 can be written as a mixed number 8 ⁴/₁₅.


step 5 Find the decimal equivalent for the fractional part 4/15 in the above expression:
= 8 + 0.2667
= 8.2667
248/30 = 8.2667

Hence,
248/30 as a decimal is 8.2667
248/30 as a mixed number is 8 ⁴/₁₅