304/298 as a Decimal and Mixed Number

304/298 as a decimal and mixed number expansion provides the detailed information about what is 304/298 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

304/298 as a Decimal
304/298 = 1.0201
Hence,
304/298 as a decimal equals to 1.0201
where,
304/298 is a given fraction,
The decimal expansion of 304/298 is 1.0201

304/298 as a Mixed Number
304/298 = (298 + 6)/298
= 298/298 + 6/298
= 1 + 6/298
= 1 6/298
304/298 = 1 6/298

Hence,
304/298 as a mixed number is 1 ⁶/₂₉₈
where,
304/298 is a given fraction,
1 ⁶/₂₉₈ is the mixed number representation of 304/298.

The below work with steps provide the detailed information about how to convert fraction 304/298 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 304/298

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 304/298.

step 2 The numerator is greater than the denominator of the fraction 304/298, so write the given fraction in the expression form in terms of denominator as like the below:
= 304/298
= 298 + 6/298

step 3 Make the above expression as individual fractions:
= 298/298 + 6/298

step 4 Simplify the above expression:
= 1 x 298/298 + 6/298
= 1 + 6/298
= 1 + 3 x 2/149 x 2
= 1 + 3/149
1 + 3/149 can be written as a mixed number 1 ³/₁₄₉.


step 5 Find the decimal equivalent for the fractional part 3/149 in the above expression:
= 1 + 0.0201
= 1.0201
304/298 = 1.0201

Hence,
304/298 as a decimal is 1.0201
304/298 as a mixed number is 1 ³/₁₄₉