298/290 as a Decimal and Mixed Number

298/290 as a decimal and mixed number expansion provides the detailed information about what is 298/290 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

298/290 as a Decimal
298/290 = 1.0276
Hence,
298/290 as a decimal equals to 1.0276
where,
298/290 is a given fraction,
The decimal expansion of 298/290 is 1.0276

298/290 as a Mixed Number
298/290 = (290 + 8)/290
= 290/290 + 8/290
= 1 + 8/290
= 1 8/290
298/290 = 1 8/290

Hence,
298/290 as a mixed number is 1 ⁸/₂₉₀
where,
298/290 is a given fraction,
1 ⁸/₂₉₀ is the mixed number representation of 298/290.

The below work with steps provide the detailed information about how to convert fraction 298/290 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 298/290

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 298/290.

step 2 The numerator is greater than the denominator of the fraction 298/290, so write the given fraction in the expression form in terms of denominator as like the below:
= 298/290
= 290 + 8/290

step 3 Make the above expression as individual fractions:
= 290/290 + 8/290

step 4 Simplify the above expression:
= 1 x 290/290 + 8/290
= 1 + 8/290
= 1 + 4 x 2/145 x 2
= 1 + 4/145
1 + 4/145 can be written as a mixed number 1 ⁴/₁₄₅.


step 5 Find the decimal equivalent for the fractional part 4/145 in the above expression:
= 1 + 0.0276
= 1.0276
298/290 = 1.0276

Hence,
298/290 as a decimal is 1.0276
298/290 as a mixed number is 1 ⁴/₁₄₅