305/297 as a Decimal and Mixed Number

305/297 as a decimal and mixed number expansion provides the detailed information about what is 305/297 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

305/297 as a Decimal
305/297 = 1.0269
Hence,
305/297 as a decimal equals to 1.0269
where,
305/297 is a given fraction,
The decimal expansion of 305/297 is 1.0269

305/297 as a Mixed Number
305/297 = (297 + 8)/297
= 297/297 + 8/297
= 1 + 8/297
= 1 8/297
305/297 = 1 8/297

Hence,
305/297 as a mixed number is 1 ⁸/₂₉₇
where,
305/297 is a given fraction,
1 ⁸/₂₉₇ is the mixed number representation of 305/297.

The below work with steps provide the detailed information about how to convert fraction 305/297 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 305/297

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 305/297.

step 2 The numerator is greater than the denominator of the fraction 305/297, so write the given fraction in the expression form in terms of denominator as like the below:
= 305/297
= 297 + 8/297

step 3 Make the above expression as individual fractions:
= 297/297 + 8/297

step 4 Simplify the above expression:
= 1 x 297/297 + 8/297
= 1 + 8/297
1 + 8/297 can be written as a mixed number 1 ⁸/₂₉₇.


step 5 Find the decimal equivalent for the fractional part 8/297 in the above expression:
= 1 + 0.0269
= 1.0269
305/297 = 1.0269

Hence,
305/297 as a decimal is 1.0269
305/297 as a mixed number is 1 ⁸/₂₉₇