82/24 as a Decimal and Mixed Number

82/24 as a decimal and mixed number expansion provides the detailed information about what is 82/24 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

82/24 as a Decimal
82/24 = 3.4167
Hence,
82/24 as a decimal equals to 3.4167
where,
82/24 is a given fraction,
The decimal expansion of 82/24 is 3.4167

82/24 as a Mixed Number
82/24 = (72 + 10)/24
= 72/24 + 10/24
= 3 + 10/24
= 3 10/24
82/24 = 3 10/24

Hence,
82/24 as a mixed number is 3 ¹⁰/₂₄
where,
82/24 is a given fraction,
3 ¹⁰/₂₄ is the mixed number representation of 82/24.

The below work with steps provide the detailed information about how to convert fraction 82/24 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 82/24

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 82/24.

step 2 The numerator is greater than the denominator of the fraction 82/24, so write the given fraction in the expression form in terms of denominator as like the below:
= 82/24
= 72 + 10/24
= (3 x 24) + 10/24

step 3 Make the above expression as individual fractions:
= (3 x 24)/24 + 10/24

step 4 Simplify the above expression:
= 3 x 24/24 + 10/24
= 3 + 10/24
= 3 + 5 x 2/12 x 2
= 3 + 5/12
3 + 5/12 can be written as a mixed number 3 ⁵/₁₂.


step 5 Find the decimal equivalent for the fractional part 5/12 in the above expression:
= 3 + 0.4167
= 3.4167
82/24 = 3.4167

Hence,
82/24 as a decimal is 3.4167
82/24 as a mixed number is 3 ⁵/₁₂