308/297 as a Decimal and Mixed Number

308/297 as a decimal and mixed number expansion provides the detailed information about what is 308/297 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

308/297 as a Decimal
308/297 = 1.037
Hence,
308/297 as a decimal equals to 1.037
where,
308/297 is a given fraction,
The decimal expansion of 308/297 is 1.037

308/297 as a Mixed Number
308/297 = (297 + 11)/297
= 297/297 + 11/297
= 1 + 11/297
= 1 11/297
308/297 = 1 11/297

Hence,
308/297 as a mixed number is 1 ¹¹/₂₉₇
where,
308/297 is a given fraction,
1 ¹¹/₂₉₇ is the mixed number representation of 308/297.

The below work with steps provide the detailed information about how to convert fraction 308/297 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 308/297

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 308/297.

step 2 The numerator is greater than the denominator of the fraction 308/297, so write the given fraction in the expression form in terms of denominator as like the below:
= 308/297
= 297 + 11/297

step 3 Make the above expression as individual fractions:
= 297/297 + 11/297

step 4 Simplify the above expression:
= 1 x 297/297 + 11/297
= 1 + 11/297
= 1 + 1 x 11/27 x 11
= 1 + 1/27
1 + 1/27 can be written as a mixed number 1 ¹/₂₇.


step 5 Find the decimal equivalent for the fractional part 1/27 in the above expression:
= 1 + 0.037
= 1.037
308/297 = 1.037

Hence,
308/297 as a decimal is 1.037
308/297 as a mixed number is 1 ¹/₂₇