204/69 as a Decimal and Mixed Number

204/69 as a decimal and mixed number expansion provides the detailed information about what is 204/69 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

204/69 as a Decimal
204/69 = 2.9565
Hence,
204/69 as a decimal equals to 2.9565
where,
204/69 is a given fraction,
The decimal expansion of 204/69 is 2.9565

204/69 as a Mixed Number
204/69 = (138 + 66)/69
= 138/69 + 66/69
= 2 + 66/69
= 2 66/69
204/69 = 2 66/69

Hence,
204/69 as a mixed number is 2 ⁶⁶/₆₉
where,
204/69 is a given fraction,
2 ⁶⁶/₆₉ is the mixed number representation of 204/69.

The below work with steps provide the detailed information about how to convert fraction 204/69 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 204/69

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 204/69.

step 2 The numerator is greater than the denominator of the fraction 204/69, so write the given fraction in the expression form in terms of denominator as like the below:
= 204/69
= 138 + 66/69
= (2 x 69) + 66/69

step 3 Make the above expression as individual fractions:
= (2 x 69)/69 + 66/69

step 4 Simplify the above expression:
= 2 x 69/69 + 66/69
= 2 + 66/69
= 2 + 22 x 3/23 x 3
= 2 + 22/23
2 + 22/23 can be written as a mixed number 2 ²²/₂₃.


step 5 Find the decimal equivalent for the fractional part 22/23 in the above expression:
= 2 + 0.9565
= 2.9565
204/69 = 2.9565

Hence,
204/69 as a decimal is 2.9565
204/69 as a mixed number is 2 ²²/₂₃