355/309 as a Decimal and Mixed Number

355/309 as a decimal and mixed number expansion provides the detailed information about what is 355/309 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

355/309 as a Decimal
355/309 = 1.1489
Hence,
355/309 as a decimal equals to 1.1489
where,
355/309 is a given fraction,
The decimal expansion of 355/309 is 1.1489

355/309 as a Mixed Number
355/309 = (309 + 46)/309
= 309/309 + 46/309
= 1 + 46/309
= 1 46/309
355/309 = 1 46/309

Hence,
355/309 as a mixed number is 1 ⁴⁶/₃₀₉
where,
355/309 is a given fraction,
1 ⁴⁶/₃₀₉ is the mixed number representation of 355/309.

The below work with steps provide the detailed information about how to convert fraction 355/309 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 355/309

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 355/309.

step 2 The numerator is greater than the denominator of the fraction 355/309, so write the given fraction in the expression form in terms of denominator as like the below:
= 355/309
= 309 + 46/309

step 3 Make the above expression as individual fractions:
= 309/309 + 46/309

step 4 Simplify the above expression:
= 1 x 309/309 + 46/309
= 1 + 46/309
1 + 46/309 can be written as a mixed number 1 ⁴⁶/₃₀₉.


step 5 Find the decimal equivalent for the fractional part 46/309 in the above expression:
= 1 + 0.1489
= 1.1489
355/309 = 1.1489

Hence,
355/309 as a decimal is 1.1489
355/309 as a mixed number is 1 ⁴⁶/₃₀₉