309/90 as a Decimal and Mixed Number

309/90 as a decimal and mixed number expansion provides the detailed information about what is 309/90 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

309/90 as a Decimal
309/90 = 3.4333
Hence,
309/90 as a decimal equals to 3.4333
where,
309/90 is a given fraction,
The decimal expansion of 309/90 is 3.4333

309/90 as a Mixed Number
309/90 = (270 + 39)/90
= 270/90 + 39/90
= 3 + 39/90
= 3 39/90
309/90 = 3 39/90

Hence,
309/90 as a mixed number is 3 ³⁹/₉₀
where,
309/90 is a given fraction,
3 ³⁹/₉₀ is the mixed number representation of 309/90.

The below work with steps provide the detailed information about how to convert fraction 309/90 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 309/90

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 309/90.

step 2 The numerator is greater than the denominator of the fraction 309/90, so write the given fraction in the expression form in terms of denominator as like the below:
= 309/90
= 270 + 39/90
= (3 x 90) + 39/90

step 3 Make the above expression as individual fractions:
= (3 x 90)/90 + 39/90

step 4 Simplify the above expression:
= 3 x 90/90 + 39/90
= 3 + 39/90
= 3 + 13 x 3/30 x 3
= 3 + 13/30
3 + 13/30 can be written as a mixed number 3 ¹³/₃₀.


step 5 Find the decimal equivalent for the fractional part 13/30 in the above expression:
= 3 + 0.4333
= 3.4333
309/90 = 3.4333

Hence,
309/90 as a decimal is 3.4333
309/90 as a mixed number is 3 ¹³/₃₀