309/297 as a Decimal and Mixed Number

309/297 as a decimal and mixed number expansion provides the detailed information about what is 309/297 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

309/297 as a Decimal
309/297 = 1.0404
Hence,
309/297 as a decimal equals to 1.0404
where,
309/297 is a given fraction,
The decimal expansion of 309/297 is 1.0404

309/297 as a Mixed Number
309/297 = (297 + 12)/297
= 297/297 + 12/297
= 1 + 12/297
= 1 12/297
309/297 = 1 12/297

Hence,
309/297 as a mixed number is 1 ¹²/₂₉₇
where,
309/297 is a given fraction,
1 ¹²/₂₉₇ is the mixed number representation of 309/297.

The below work with steps provide the detailed information about how to convert fraction 309/297 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 309/297

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 309/297.

step 2 The numerator is greater than the denominator of the fraction 309/297, so write the given fraction in the expression form in terms of denominator as like the below:
= 309/297
= 297 + 12/297

step 3 Make the above expression as individual fractions:
= 297/297 + 12/297

step 4 Simplify the above expression:
= 1 x 297/297 + 12/297
= 1 + 12/297
= 1 + 4 x 3/99 x 3
= 1 + 4/99
1 + 4/99 can be written as a mixed number 1 ⁴/₉₉.


step 5 Find the decimal equivalent for the fractional part 4/99 in the above expression:
= 1 + 0.0404
= 1.0404
309/297 = 1.0404

Hence,
309/297 as a decimal is 1.0404
309/297 as a mixed number is 1 ⁴/₉₉