84/26 as a decimal and mixed number expansion provides the detailed information about what is 84/26 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
84/26 as a Decimal
84/26 = 3.2308
Hence,
84/26 as a decimal equals to 3.2308
where,
84/26 is a given fraction,
The decimal expansion of 84/26 is 3.2308
84/26 as a Mixed Number
84/26 = (78 + 6)/26
= 78/26 + 6/26
= 3 + 6/26
= 3 6/26
84/26 = 3 6/26
Hence,
84/26 as a mixed number is 3 6/26
where,
84/26 is a given fraction,
3 6/26 is the mixed number representation of 84/26.
The below work with steps provide the detailed information about how to convert fraction 84/26 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 84/26
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 84/26.
step 2 The numerator is greater than the denominator of the fraction 84/26, so write the given fraction in the expression form in terms of denominator as like the below:
= 84/26
= 78 + 6/26
= (3 x 26) + 6/26
step 3 Make the above expression as individual fractions:
= (3 x 26)/26 + 6/26
step 4 Simplify the above expression:
= 3 x 26/26 + 6/26
= 3 + 6/26
= 3 + 3 x 2/13 x 2
= 3 + 3/13
3 + 3/13 can be written as a mixed number 3 3/13.
step 5 Find the decimal equivalent for the fractional part 3/13 in the above expression:
= 3 + 0.2308
= 3.2308
84/26 = 3.2308
Hence,
84/26 as a decimal is 3.2308
84/26 as a mixed number is 3 3/13