204/90 as a Decimal and Mixed Number

204/90 as a decimal and mixed number expansion provides the detailed information about what is 204/90 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

204/90 as a Decimal
204/90 = 2.2667
Hence,
204/90 as a decimal equals to 2.2667
where,
204/90 is a given fraction,
The decimal expansion of 204/90 is 2.2667

204/90 as a Mixed Number
204/90 = (180 + 24)/90
= 180/90 + 24/90
= 2 + 24/90
= 2 24/90
204/90 = 2 24/90

Hence,
204/90 as a mixed number is 2 ²⁴/₉₀
where,
204/90 is a given fraction,
2 ²⁴/₉₀ is the mixed number representation of 204/90.

The below work with steps provide the detailed information about how to convert fraction 204/90 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 204/90

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 204/90.

step 2 The numerator is greater than the denominator of the fraction 204/90, so write the given fraction in the expression form in terms of denominator as like the below:
= 204/90
= 180 + 24/90
= (2 x 90) + 24/90

step 3 Make the above expression as individual fractions:
= (2 x 90)/90 + 24/90

step 4 Simplify the above expression:
= 2 x 90/90 + 24/90
= 2 + 24/90
= 2 + 4 x 6/15 x 6
= 2 + 4/15
2 + 4/15 can be written as a mixed number 2 ⁴/₁₅.


step 5 Find the decimal equivalent for the fractional part 4/15 in the above expression:
= 2 + 0.2667
= 2.2667
204/90 = 2.2667

Hence,
204/90 as a decimal is 2.2667
204/90 as a mixed number is 2 ⁴/₁₅