84/13 as a Decimal and Mixed Number

84/13 as a decimal and mixed number expansion provides the detailed information about what is 84/13 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

84/13 as a Decimal
84/13 = 6.4615
Hence,
84/13 as a decimal equals to 6.4615
where,
84/13 is a given fraction,
The decimal expansion of 84/13 is 6.4615

84/13 as a Mixed Number
84/13 = (78 + 6)/13
= 78/13 + 6/13
= 6 + 6/13
= 6 6/13
84/13 = 6 6/13

Hence,
84/13 as a mixed number is 6 ⁶/₁₃
where,
84/13 is a given fraction,
6 ⁶/₁₃ is the mixed number representation of 84/13.

The below work with steps provide the detailed information about how to convert fraction 84/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 84/13

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 84/13.

step 2 The numerator is greater than the denominator of the fraction 84/13, so write the given fraction in the expression form in terms of denominator as like the below:
= 84/13
= 78 + 6/13
= (6 x 13) + 6/13

step 3 Make the above expression as individual fractions:
= (6 x 13)/13 + 6/13

step 4 Simplify the above expression:
= 6 x 13/13 + 6/13
= 6 + 6/13
6 + 6/13 can be written as a mixed number 6 ⁶/₁₃.


step 5 Find the decimal equivalent for the fractional part 6/13 in the above expression:
= 6 + 0.4615
= 6.4615
84/13 = 6.4615

Hence,
84/13 as a decimal is 6.4615
84/13 as a mixed number is 6 ⁶/₁₃