204/80 as a Decimal and Mixed Number
204/80 as a decimal and mixed number expansion provides the detailed information about what is 204/80 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.
204/80 as a Decimal
204/80 = 2.55
Hence,
204/80 as a decimal equals to 2.55
where,
204/80 is a given fraction,
The decimal expansion of 204/80 is 2.55
204/80 as a Mixed Number
204/80 = (160 + 44)/80
= 160/80 + 44/80
= 2 + 44/80
= 2 44/80
204/80 = 2 44/80
Hence,
204/80 as a mixed number is 2 44/80
where,
204/80 is a given fraction,
2 44/80 is the mixed number representation of 204/80.
How-to: 204/80 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 204/80 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 204/80
What to be found:
Find the equivalent decimal expansion and mixed number for fraction 204/80.
step 2 The numerator is greater than the denominator of the fraction 204/80, so write the given fraction in the expression form in terms of denominator as like the below:
= 204/80
= 160 + 44/80
= (2 x 80) + 44/80
step 3 Make the above expression as individual fractions:
= (2 x 80)/80 + 44/80
step 4 Simplify the above expression:
= 2 x 80/80 + 44/80
= 2 + 44/80
= 2 + 11 x 4/20 x 4
= 2 + 11/20
2 + 11/20 can be written as a mixed number 2 11/20.
step 5 Find the decimal equivalent for the fractional part 11/20 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 2 + (11/20 x 5/5)
= 2 + 55/100
step 6 Simplify the above expression further:
= 2 + 0.55
= 2.55
204/80 = 2.55
Hence,
204/80 as a decimal is 2.55
204/80 as a mixed number is 2 11/20