355/30 as a Decimal and Mixed Number

355/30 as a decimal and mixed number expansion provides the detailed information about what is 355/30 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

355/30 as a Decimal
355/30 = 11.8333
Hence,
355/30 as a decimal equals to 11.8333
where,
355/30 is a given fraction,
The decimal expansion of 355/30 is 11.8333

355/30 as a Mixed Number
355/30 = (330 + 25)/30
= 330/30 + 25/30
= 11 + 25/30
= 11 25/30
355/30 = 11 25/30

Hence,
355/30 as a mixed number is 11 ²⁵/₃₀
where,
355/30 is a given fraction,
11 ²⁵/₃₀ is the mixed number representation of 355/30.

The below work with steps provide the detailed information about how to convert fraction 355/30 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 355/30

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 355/30.

step 2 The numerator is greater than the denominator of the fraction 355/30, so write the given fraction in the expression form in terms of denominator as like the below:
= 355/30
= 330 + 25/30
= (11 x 30) + 25/30

step 3 Make the above expression as individual fractions:
= (11 x 30)/30 + 25/30

step 4 Simplify the above expression:
= 11 x 30/30 + 25/30
= 11 + 25/30
= 11 + 5 x 5/6 x 5
= 11 + 5/6
11 + 5/6 can be written as a mixed number 11 ⁵/₆.


step 5 Find the decimal equivalent for the fractional part 5/6 in the above expression:
= 11 + 0.8333
= 11.8333
355/30 = 11.8333

Hence,
355/30 as a decimal is 11.8333
355/30 as a mixed number is 11 ⁵/₆