330/90 as a Decimal and Mixed Number

330/90 as a decimal and mixed number expansion provides the detailed information about what is 330/90 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

330/90 as a Decimal
330/90 = 3.6667
Hence,
330/90 as a decimal equals to 3.6667
where,
330/90 is a given fraction,
The decimal expansion of 330/90 is 3.6667

330/90 as a Mixed Number
330/90 = (270 + 60)/90
= 270/90 + 60/90
= 3 + 60/90
= 3 60/90
330/90 = 3 60/90

Hence,
330/90 as a mixed number is 3 ⁶⁰/₉₀
where,
330/90 is a given fraction,
3 ⁶⁰/₉₀ is the mixed number representation of 330/90.

The below work with steps provide the detailed information about how to convert fraction 330/90 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 330/90

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 330/90.

step 2 The numerator is greater than the denominator of the fraction 330/90, so write the given fraction in the expression form in terms of denominator as like the below:
= 330/90
= 270 + 60/90
= (3 x 90) + 60/90

step 3 Make the above expression as individual fractions:
= (3 x 90)/90 + 60/90

step 4 Simplify the above expression:
= 3 x 90/90 + 60/90
= 3 + 60/90
= 3 + 2 x 30/3 x 30
= 3 + 2/3
3 + 2/3 can be written as a mixed number 3 ²/₃.


step 5 Find the decimal equivalent for the fractional part 2/3 in the above expression:
= 3 + 0.6667
= 3.6667
330/90 = 3.6667

Hence,
330/90 as a decimal is 3.6667
330/90 as a mixed number is 3 ²/₃