298/30 as a Decimal and Mixed Number

298/30 as a decimal and mixed number expansion provides the detailed information about what is 298/30 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

298/30 as a Decimal
298/30 = 9.9333
Hence,
298/30 as a decimal equals to 9.9333
where,
298/30 is a given fraction,
The decimal expansion of 298/30 is 9.9333

298/30 as a Mixed Number
298/30 = (270 + 28)/30
= 270/30 + 28/30
= 9 + 28/30
= 9 28/30
298/30 = 9 28/30

Hence,
298/30 as a mixed number is 9 ²⁸/₃₀
where,
298/30 is a given fraction,
9 ²⁸/₃₀ is the mixed number representation of 298/30.

The below work with steps provide the detailed information about how to convert fraction 298/30 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 298/30

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 298/30.

step 2 The numerator is greater than the denominator of the fraction 298/30, so write the given fraction in the expression form in terms of denominator as like the below:
= 298/30
= 270 + 28/30
= (9 x 30) + 28/30

step 3 Make the above expression as individual fractions:
= (9 x 30)/30 + 28/30

step 4 Simplify the above expression:
= 9 x 30/30 + 28/30
= 9 + 28/30
= 9 + 14 x 2/15 x 2
= 9 + 14/15
9 + 14/15 can be written as a mixed number 9 ¹⁴/₁₅.


step 5 Find the decimal equivalent for the fractional part 14/15 in the above expression:
= 9 + 0.9333
= 9.9333
298/30 = 9.9333

Hence,
298/30 as a decimal is 9.9333
298/30 as a mixed number is 9 ¹⁴/₁₅