309/30 as a Decimal and Mixed Number

309/30 as a decimal and mixed number expansion provides the detailed information about what is 309/30 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

309/30 as a Decimal
309/30 = 10.3
Hence,
309/30 as a decimal equals to 10.3
where,
309/30 is a given fraction,
The decimal expansion of 309/30 is 10.3

309/30 as a Mixed Number
309/30 = (300 + 9)/30
= 300/30 + 9/30
= 10 + 9/30
= 10 9/30
309/30 = 10 9/30

Hence,
309/30 as a mixed number is 10 ⁹/₃₀
where,
309/30 is a given fraction,
10 ⁹/₃₀ is the mixed number representation of 309/30.

The below work with steps provide the detailed information about how to convert fraction 309/30 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 309/30

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 309/30.

step 2 The numerator is greater than the denominator of the fraction 309/30, so write the given fraction in the expression form in terms of denominator as like the below:
= 309/30
= 300 + 9/30
= (10 x 30) + 9/30

step 3 Make the above expression as individual fractions:
= (10 x 30)/30 + 9/30

step 4 Simplify the above expression:
= 10 x 30/30 + 9/30
= 10 + 9/30
= 10 + 3 x 3/10 x 3
= 10 + 3/10
10 + 3/10 can be written as a mixed number 10 ³/₁₀.


step 5 Find the decimal equivalent for the fractional part 3/10 in the above expression:
= 10 + 0.3
= 10.3
309/30 = 10.3

Hence,
309/30 as a decimal is 10.3
309/30 as a mixed number is 10 ³/₁₀