297/108 as a Decimal and Mixed Number

297/108 as a decimal and mixed number expansion provides the detailed information about what is 297/108 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

297/108 as a Decimal
297/108 = 2.75
Hence,
297/108 as a decimal equals to 2.75
where,
297/108 is a given fraction,
The decimal expansion of 297/108 is 2.75

297/108 as a Mixed Number
297/108 = (216 + 81)/108
= 216/108 + 81/108
= 2 + 81/108
= 2 81/108
297/108 = 2 81/108

Hence,
297/108 as a mixed number is 2 ⁸¹/₁₀₈
where,
297/108 is a given fraction,
2 ⁸¹/₁₀₈ is the mixed number representation of 297/108.

The below work with steps provide the detailed information about how to convert fraction 297/108 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 297/108

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 297/108.

step 2 The numerator is greater than the denominator of the fraction 297/108, so write the given fraction in the expression form in terms of denominator as like the below:
= 297/108
= 216 + 81/108
= (2 x 108) + 81/108

step 3 Make the above expression as individual fractions:
= (2 x 108)/108 + 81/108

step 4 Simplify the above expression:
= 2 x 108/108 + 81/108
= 2 + 81/108
= 2 + 3 x 27/4 x 27
= 2 + 3/4
2 + 3/4 can be written as a mixed number 2 ³/₄.


step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 2 + (3/4 x 25/25)
= 2 + 75/100

step 6 Simplify the above expression further:
= 2 + 0.75
= 2.75
297/108 = 2.75

Hence,
297/108 as a decimal is 2.75
297/108 as a mixed number is 2 ³/₄