249/30 as a Decimal and Mixed Number

249/30 as a decimal and mixed number expansion provides the detailed information about what is 249/30 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

249/30 as a Decimal
249/30 = 8.3
Hence,
249/30 as a decimal equals to 8.3
where,
249/30 is a given fraction,
The decimal expansion of 249/30 is 8.3

249/30 as a Mixed Number
249/30 = (240 + 9)/30
= 240/30 + 9/30
= 8 + 9/30
= 8 9/30
249/30 = 8 9/30

Hence,
249/30 as a mixed number is 8 ⁹/₃₀
where,
249/30 is a given fraction,
8 ⁹/₃₀ is the mixed number representation of 249/30.

The below work with steps provide the detailed information about how to convert fraction 249/30 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 249/30

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 249/30.

step 2 The numerator is greater than the denominator of the fraction 249/30, so write the given fraction in the expression form in terms of denominator as like the below:
= 249/30
= 240 + 9/30
= (8 x 30) + 9/30

step 3 Make the above expression as individual fractions:
= (8 x 30)/30 + 9/30

step 4 Simplify the above expression:
= 8 x 30/30 + 9/30
= 8 + 9/30
= 8 + 3 x 3/10 x 3
= 8 + 3/10
8 + 3/10 can be written as a mixed number 8 ³/₁₀.


step 5 Find the decimal equivalent for the fractional part 3/10 in the above expression:
= 8 + 0.3
= 8.3
249/30 = 8.3

Hence,
249/30 as a decimal is 8.3
249/30 as a mixed number is 8 ³/₁₀