306/297 as a Decimal and Mixed Number

306/297 as a decimal and mixed number expansion provides the detailed information about what is 306/297 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

306/297 as a Decimal
306/297 = 1.0303
Hence,
306/297 as a decimal equals to 1.0303
where,
306/297 is a given fraction,
The decimal expansion of 306/297 is 1.0303

306/297 as a Mixed Number
306/297 = (297 + 9)/297
= 297/297 + 9/297
= 1 + 9/297
= 1 9/297
306/297 = 1 9/297

Hence,
306/297 as a mixed number is 1 ⁹/₂₉₇
where,
306/297 is a given fraction,
1 ⁹/₂₉₇ is the mixed number representation of 306/297.

The below work with steps provide the detailed information about how to convert fraction 306/297 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 306/297

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 306/297.

step 2 The numerator is greater than the denominator of the fraction 306/297, so write the given fraction in the expression form in terms of denominator as like the below:
= 306/297
= 297 + 9/297

step 3 Make the above expression as individual fractions:
= 297/297 + 9/297

step 4 Simplify the above expression:
= 1 x 297/297 + 9/297
= 1 + 9/297
= 1 + 1 x 9/33 x 9
= 1 + 1/33
1 + 1/33 can be written as a mixed number 1 ¹/₃₃.


step 5 Find the decimal equivalent for the fractional part 1/33 in the above expression:
= 1 + 0.0303
= 1.0303
306/297 = 1.0303

Hence,
306/297 as a decimal is 1.0303
306/297 as a mixed number is 1 ¹/₃₃