82/16 as a Decimal and Mixed Number

82/16 as a decimal and mixed number expansion provides the detailed information about what is 82/16 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

82/16 as a Decimal
82/16 = 5.125
Hence,
82/16 as a decimal equals to 5.125
where,
82/16 is a given fraction,
The decimal expansion of 82/16 is 5.125

82/16 as a Mixed Number
82/16 = (80 + 2)/16
= 80/16 + 2/16
= 5 + 2/16
= 5 2/16
82/16 = 5 2/16

Hence,
82/16 as a mixed number is 5 ²/₁₆
where,
82/16 is a given fraction,
5 ²/₁₆ is the mixed number representation of 82/16.

The below work with steps provide the detailed information about how to convert fraction 82/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 82/16

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 82/16.

step 2 The numerator is greater than the denominator of the fraction 82/16, so write the given fraction in the expression form in terms of denominator as like the below:
= 82/16
= 80 + 2/16
= (5 x 16) + 2/16

step 3 Make the above expression as individual fractions:
= (5 x 16)/16 + 2/16

step 4 Simplify the above expression:
= 5 x 16/16 + 2/16
= 5 + 2/16
= 5 + 1 x 2/8 x 2
= 5 + 1/8
5 + 1/8 can be written as a mixed number 5 ¹/₈.


step 5 Find the decimal equivalent for the fractional part 1/8 in the above expression:
Multiply both numerator and denominator by 125 to make the denominator as powers of 10:
= 5 + (1/8 x 125/125)
= 5 + 125/1000

step 6 Simplify the above expression further:
= 5 + 0.125
= 5.125
82/16 = 5.125

Hence,
82/16 as a decimal is 5.125
82/16 as a mixed number is 5 ¹/₈