84/39 as a decimal and mixed number expansion provides the detailed information about what is 84/39 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
84/39 as a Decimal
84/39 = 2.1538
Hence,
84/39 as a decimal equals to 2.1538
where,
84/39 is a given fraction,
The decimal expansion of 84/39 is 2.1538
84/39 as a Mixed Number
84/39 = (78 + 6)/39
= 78/39 + 6/39
= 2 + 6/39
= 2 6/39
84/39 = 2 6/39
Hence,
84/39 as a mixed number is 2 6/39
where,
84/39 is a given fraction,
2 6/39 is the mixed number representation of 84/39.
The below work with steps provide the detailed information about how to convert fraction 84/39 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 84/39
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 84/39.
step 2 The numerator is greater than the denominator of the fraction 84/39, so write the given fraction in the expression form in terms of denominator as like the below:
= 84/39
= 78 + 6/39
= (2 x 39) + 6/39
step 3 Make the above expression as individual fractions:
= (2 x 39)/39 + 6/39
step 4 Simplify the above expression:
= 2 x 39/39 + 6/39
= 2 + 6/39
= 2 + 2 x 3/13 x 3
= 2 + 2/13
2 + 2/13 can be written as a mixed number 2 2/13.
step 5 Find the decimal equivalent for the fractional part 2/13 in the above expression:
= 2 + 0.1538
= 2.1538
84/39 = 2.1538
Hence,
84/39 as a decimal is 2.1538
84/39 as a mixed number is 2 2/13