204/85 as a Decimal and Mixed Number

204/85 as a decimal and mixed number expansion provides the detailed information about what is 204/85 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

204/85 as a Decimal
204/85 = 2.4
Hence,
204/85 as a decimal equals to 2.4
where,
204/85 is a given fraction,
The decimal expansion of 204/85 is 2.4

204/85 as a Mixed Number
204/85 = (170 + 34)/85
= 170/85 + 34/85
= 2 + 34/85
= 2 34/85
204/85 = 2 34/85

Hence,
204/85 as a mixed number is 2 ³⁴/₈₅
where,
204/85 is a given fraction,
2 ³⁴/₈₅ is the mixed number representation of 204/85.

The below work with steps provide the detailed information about how to convert fraction 204/85 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 204/85

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 204/85.

step 2 The numerator is greater than the denominator of the fraction 204/85, so write the given fraction in the expression form in terms of denominator as like the below:
= 204/85
= 170 + 34/85
= (2 x 85) + 34/85

step 3 Make the above expression as individual fractions:
= (2 x 85)/85 + 34/85

step 4 Simplify the above expression:
= 2 x 85/85 + 34/85
= 2 + 34/85
= 2 + 2 x 17/5 x 17
= 2 + 2/5
2 + 2/5 can be written as a mixed number 2 ²/₅.


step 5 Find the decimal equivalent for the fractional part 2/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 2 + (2/5 x 2/2)
= 2 + 4/10

step 6 Simplify the above expression further:
= 2 + 0.4
= 2.4
204/85 = 2.4

Hence,
204/85 as a decimal is 2.4
204/85 as a mixed number is 2 ²/₅