302/138 as a Decimal and Mixed Number

302/138 as a decimal and mixed number expansion provides the detailed information about what is 302/138 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

302/138 as a Decimal
302/138 = 2.1884
Hence,
302/138 as a decimal equals to 2.1884
where,
302/138 is a given fraction,
The decimal expansion of 302/138 is 2.1884

302/138 as a Mixed Number
302/138 = (276 + 26)/138
= 276/138 + 26/138
= 2 + 26/138
= 2 26/138
302/138 = 2 26/138

Hence,
302/138 as a mixed number is 2 ²⁶/₁₃₈
where,
302/138 is a given fraction,
2 ²⁶/₁₃₈ is the mixed number representation of 302/138.

The below work with steps provide the detailed information about how to convert fraction 302/138 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 302/138

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 302/138.

step 2 The numerator is greater than the denominator of the fraction 302/138, so write the given fraction in the expression form in terms of denominator as like the below:
= 302/138
= 276 + 26/138
= (2 x 138) + 26/138

step 3 Make the above expression as individual fractions:
= (2 x 138)/138 + 26/138

step 4 Simplify the above expression:
= 2 x 138/138 + 26/138
= 2 + 26/138
= 2 + 13 x 2/69 x 2
= 2 + 13/69
2 + 13/69 can be written as a mixed number 2 ¹³/₆₉.


step 5 Find the decimal equivalent for the fractional part 13/69 in the above expression:
= 2 + 0.1884
= 2.1884
302/138 = 2.1884

Hence,
302/138 as a decimal is 2.1884
302/138 as a mixed number is 2 ¹³/₆₉