328/16 as a Decimal and Mixed Number

328/16 as a decimal and mixed number expansion provides the detailed information about what is 328/16 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

328/16 as a Decimal
328/16 = 20.5
Hence,
328/16 as a decimal equals to 20.5
where,
328/16 is a given fraction,
The decimal expansion of 328/16 is 20.5

328/16 as a Mixed Number
328/16 = (320 + 8)/16
= 320/16 + 8/16
= 20 + 8/16
= 20 8/16
328/16 = 20 8/16

Hence,
328/16 as a mixed number is 20 ⁸/₁₆
where,
328/16 is a given fraction,
20 ⁸/₁₆ is the mixed number representation of 328/16.

The below work with steps provide the detailed information about how to convert fraction 328/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 328/16

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 328/16.

step 2 The numerator is greater than the denominator of the fraction 328/16, so write the given fraction in the expression form in terms of denominator as like the below:
= 328/16
= 320 + 8/16
= (20 x 16) + 8/16

step 3 Make the above expression as individual fractions:
= (20 x 16)/16 + 8/16

step 4 Simplify the above expression:
= 20 x 16/16 + 8/16
= 20 + 8/16
= 20 + 1 x 8/2 x 8
= 20 + 1/2
20 + 1/2 can be written as a mixed number 20 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 20 + (1/2 x 5/5)
= 20 + 5/10

step 6 Simplify the above expression further:
= 20 + 0.5
= 20.5
328/16 = 20.5

Hence,
328/16 as a decimal is 20.5
328/16 as a mixed number is 20 ¹/₂