30/9 as a Decimal and Mixed Number

30/9 as a decimal and mixed number expansion provides the detailed information about what is 30/9 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

30/9 as a Decimal
30/9 = 3.3333
Hence,
30/9 as a decimal equals to 3.3333
where,
30/9 is a given fraction,
The decimal expansion of 30/9 is 3.3333

30/9 as a Mixed Number
30/9 = (27 + 3)/9
= 27/9 + 3/9
= 3 + 3/9
= 3 3/9
30/9 = 3 3/9

Hence,
30/9 as a mixed number is 3 ³/₉
where,
30/9 is a given fraction,
3 ³/₉ is the mixed number representation of 30/9.

The below work with steps provide the detailed information about how to convert fraction 30/9 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 30/9

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 30/9.

step 2 The numerator is greater than the denominator of the fraction 30/9, so write the given fraction in the expression form in terms of denominator as like the below:
= 30/9
= 27 + 3/9
= (3 x 9) + 3/9

step 3 Make the above expression as individual fractions:
= (3 x 9)/9 + 3/9

step 4 Simplify the above expression:
= 3 x 9/9 + 3/9
= 3 + 3/9
= 3 + 1 x 3/3 x 3
= 3 + 1/3
3 + 1/3 can be written as a mixed number 3 ¹/₃.


step 5 Find the decimal equivalent for the fractional part 1/3 in the above expression:
= 3 + 0.3333
= 3.3333
30/9 = 3.3333

Hence,
30/9 as a decimal is 3.3333
30/9 as a mixed number is 3 ¹/₃