298/34 as a Decimal and Mixed Number

298/34 as a decimal and mixed number expansion provides the detailed information about what is 298/34 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

298/34 as a Decimal
298/34 = 8.7647
Hence,
298/34 as a decimal equals to 8.7647
where,
298/34 is a given fraction,
The decimal expansion of 298/34 is 8.7647

298/34 as a Mixed Number
298/34 = (272 + 26)/34
= 272/34 + 26/34
= 8 + 26/34
= 8 26/34
298/34 = 8 26/34

Hence,
298/34 as a mixed number is 8 ²⁶/₃₄
where,
298/34 is a given fraction,
8 ²⁶/₃₄ is the mixed number representation of 298/34.

The below work with steps provide the detailed information about how to convert fraction 298/34 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 298/34

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 298/34.

step 2 The numerator is greater than the denominator of the fraction 298/34, so write the given fraction in the expression form in terms of denominator as like the below:
= 298/34
= 272 + 26/34
= (8 x 34) + 26/34

step 3 Make the above expression as individual fractions:
= (8 x 34)/34 + 26/34

step 4 Simplify the above expression:
= 8 x 34/34 + 26/34
= 8 + 26/34
= 8 + 13 x 2/17 x 2
= 8 + 13/17
8 + 13/17 can be written as a mixed number 8 ¹³/₁₇.


step 5 Find the decimal equivalent for the fractional part 13/17 in the above expression:
= 8 + 0.7647
= 8.7647
298/34 = 8.7647

Hence,
298/34 as a decimal is 8.7647
298/34 as a mixed number is 8 ¹³/₁₇