309/138 as a Decimal and Mixed Number

309/138 as a decimal and mixed number expansion provides the detailed information about what is 309/138 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

309/138 as a Decimal
309/138 = 2.2391
Hence,
309/138 as a decimal equals to 2.2391
where,
309/138 is a given fraction,
The decimal expansion of 309/138 is 2.2391

309/138 as a Mixed Number
309/138 = (276 + 33)/138
= 276/138 + 33/138
= 2 + 33/138
= 2 33/138
309/138 = 2 33/138

Hence,
309/138 as a mixed number is 2 ³³/₁₃₈
where,
309/138 is a given fraction,
2 ³³/₁₃₈ is the mixed number representation of 309/138.

The below work with steps provide the detailed information about how to convert fraction 309/138 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 309/138

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 309/138.

step 2 The numerator is greater than the denominator of the fraction 309/138, so write the given fraction in the expression form in terms of denominator as like the below:
= 309/138
= 276 + 33/138
= (2 x 138) + 33/138

step 3 Make the above expression as individual fractions:
= (2 x 138)/138 + 33/138

step 4 Simplify the above expression:
= 2 x 138/138 + 33/138
= 2 + 33/138
= 2 + 11 x 3/46 x 3
= 2 + 11/46
2 + 11/46 can be written as a mixed number 2 ¹¹/₄₆.


step 5 Find the decimal equivalent for the fractional part 11/46 in the above expression:
= 2 + 0.2391
= 2.2391
309/138 = 2.2391

Hence,
309/138 as a decimal is 2.2391
309/138 as a mixed number is 2 ¹¹/₄₆