309/102 as a Decimal and Mixed Number

309/102 as a decimal and mixed number expansion provides the detailed information about what is 309/102 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

309/102 as a Decimal
309/102 = 3.0294
Hence,
309/102 as a decimal equals to 3.0294
where,
309/102 is a given fraction,
The decimal expansion of 309/102 is 3.0294

309/102 as a Mixed Number
309/102 = (306 + 3)/102
= 306/102 + 3/102
= 3 + 3/102
= 3 3/102
309/102 = 3 3/102

Hence,
309/102 as a mixed number is 3 ³/₁₀₂
where,
309/102 is a given fraction,
3 ³/₁₀₂ is the mixed number representation of 309/102.

The below work with steps provide the detailed information about how to convert fraction 309/102 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 309/102

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 309/102.

step 2 The numerator is greater than the denominator of the fraction 309/102, so write the given fraction in the expression form in terms of denominator as like the below:
= 309/102
= 306 + 3/102
= (3 x 102) + 3/102

step 3 Make the above expression as individual fractions:
= (3 x 102)/102 + 3/102

step 4 Simplify the above expression:
= 3 x 102/102 + 3/102
= 3 + 3/102
= 3 + 1 x 3/34 x 3
= 3 + 1/34
3 + 1/34 can be written as a mixed number 3 ¹/₃₄.


step 5 Find the decimal equivalent for the fractional part 1/34 in the above expression:
= 3 + 0.0294
= 3.0294
309/102 = 3.0294

Hence,
309/102 as a decimal is 3.0294
309/102 as a mixed number is 3 ¹/₃₄