204/16 as a Decimal and Mixed Number

204/16 as a decimal and mixed number expansion provides the detailed information about what is 204/16 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

204/16 as a Decimal
204/16 = 12.75
Hence,
204/16 as a decimal equals to 12.75
where,
204/16 is a given fraction,
The decimal expansion of 204/16 is 12.75

204/16 as a Mixed Number
204/16 = (192 + 12)/16
= 192/16 + 12/16
= 12 + 12/16
= 12 12/16
204/16 = 12 12/16

Hence,
204/16 as a mixed number is 12 ¹²/₁₆
where,
204/16 is a given fraction,
12 ¹²/₁₆ is the mixed number representation of 204/16.

The below work with steps provide the detailed information about how to convert fraction 204/16 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 204/16

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 204/16.

step 2 The numerator is greater than the denominator of the fraction 204/16, so write the given fraction in the expression form in terms of denominator as like the below:
= 204/16
= 192 + 12/16
= (12 x 16) + 12/16

step 3 Make the above expression as individual fractions:
= (12 x 16)/16 + 12/16

step 4 Simplify the above expression:
= 12 x 16/16 + 12/16
= 12 + 12/16
= 12 + 3 x 4/4 x 4
= 12 + 3/4
12 + 3/4 can be written as a mixed number 12 ³/₄.


step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 12 + (3/4 x 25/25)
= 12 + 75/100

step 6 Simplify the above expression further:
= 12 + 0.75
= 12.75
204/16 = 12.75

Hence,
204/16 as a decimal is 12.75
204/16 as a mixed number is 12 ³/₄