317/309 as a Decimal and Mixed Number

317/309 as a decimal and mixed number expansion provides the detailed information about what is 317/309 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

317/309 as a Decimal
317/309 = 1.0259
Hence,
317/309 as a decimal equals to 1.0259
where,
317/309 is a given fraction,
The decimal expansion of 317/309 is 1.0259

317/309 as a Mixed Number
317/309 = (309 + 8)/309
= 309/309 + 8/309
= 1 + 8/309
= 1 8/309
317/309 = 1 8/309

Hence,
317/309 as a mixed number is 1 ⁸/₃₀₉
where,
317/309 is a given fraction,
1 ⁸/₃₀₉ is the mixed number representation of 317/309.

The below work with steps provide the detailed information about how to convert fraction 317/309 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 317/309

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 317/309.

step 2 The numerator is greater than the denominator of the fraction 317/309, so write the given fraction in the expression form in terms of denominator as like the below:
= 317/309
= 309 + 8/309

step 3 Make the above expression as individual fractions:
= 309/309 + 8/309

step 4 Simplify the above expression:
= 1 x 309/309 + 8/309
= 1 + 8/309
1 + 8/309 can be written as a mixed number 1 ⁸/₃₀₉.


step 5 Find the decimal equivalent for the fractional part 8/309 in the above expression:
= 1 + 0.0259
= 1.0259
317/309 = 1.0259

Hence,
317/309 as a decimal is 1.0259
317/309 as a mixed number is 1 ⁸/₃₀₉