309/271 as a Decimal and Mixed Number

309/271 as a decimal and mixed number expansion provides the detailed information about what is 309/271 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

309/271 as a Decimal
309/271 = 1.1402
Hence,
309/271 as a decimal equals to 1.1402
where,
309/271 is a given fraction,
The decimal expansion of 309/271 is 1.1402

309/271 as a Mixed Number
309/271 = (271 + 38)/271
= 271/271 + 38/271
= 1 + 38/271
= 1 38/271
309/271 = 1 38/271

Hence,
309/271 as a mixed number is 1 ³⁸/₂₇₁
where,
309/271 is a given fraction,
1 ³⁸/₂₇₁ is the mixed number representation of 309/271.

The below work with steps provide the detailed information about how to convert fraction 309/271 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 309/271

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 309/271.

step 2 The numerator is greater than the denominator of the fraction 309/271, so write the given fraction in the expression form in terms of denominator as like the below:
= 309/271
= 271 + 38/271

step 3 Make the above expression as individual fractions:
= 271/271 + 38/271

step 4 Simplify the above expression:
= 1 x 271/271 + 38/271
= 1 + 38/271
1 + 38/271 can be written as a mixed number 1 ³⁸/₂₇₁.


step 5 Find the decimal equivalent for the fractional part 38/271 in the above expression:
= 1 + 0.1402
= 1.1402
309/271 = 1.1402

Hence,
309/271 as a decimal is 1.1402
309/271 as a mixed number is 1 ³⁸/₂₇₁