298/144 as a Decimal and Mixed Number

298/144 as a decimal and mixed number expansion provides the detailed information about what is 298/144 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

298/144 as a Decimal
298/144 = 2.0694
Hence,
298/144 as a decimal equals to 2.0694
where,
298/144 is a given fraction,
The decimal expansion of 298/144 is 2.0694

298/144 as a Mixed Number
298/144 = (288 + 10)/144
= 288/144 + 10/144
= 2 + 10/144
= 2 10/144
298/144 = 2 10/144

Hence,
298/144 as a mixed number is 2 ¹⁰/₁₄₄
where,
298/144 is a given fraction,
2 ¹⁰/₁₄₄ is the mixed number representation of 298/144.

The below work with steps provide the detailed information about how to convert fraction 298/144 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 298/144

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 298/144.

step 2 The numerator is greater than the denominator of the fraction 298/144, so write the given fraction in the expression form in terms of denominator as like the below:
= 298/144
= 288 + 10/144
= (2 x 144) + 10/144

step 3 Make the above expression as individual fractions:
= (2 x 144)/144 + 10/144

step 4 Simplify the above expression:
= 2 x 144/144 + 10/144
= 2 + 10/144
= 2 + 5 x 2/72 x 2
= 2 + 5/72
2 + 5/72 can be written as a mixed number 2 ⁵/₇₂.


step 5 Find the decimal equivalent for the fractional part 5/72 in the above expression:
= 2 + 0.0694
= 2.0694
298/144 = 2.0694

Hence,
298/144 as a decimal is 2.0694
298/144 as a mixed number is 2 ⁵/₇₂