204/165 as a Decimal and Mixed Number

204/165 as a decimal and mixed number expansion provides the detailed information about what is 204/165 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

204/165 as a Decimal
204/165 = 1.2364
Hence,
204/165 as a decimal equals to 1.2364
where,
204/165 is a given fraction,
The decimal expansion of 204/165 is 1.2364

204/165 as a Mixed Number
204/165 = (165 + 39)/165
= 165/165 + 39/165
= 1 + 39/165
= 1 39/165
204/165 = 1 39/165

Hence,
204/165 as a mixed number is 1 ³⁹/₁₆₅
where,
204/165 is a given fraction,
1 ³⁹/₁₆₅ is the mixed number representation of 204/165.

The below work with steps provide the detailed information about how to convert fraction 204/165 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 204/165

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 204/165.

step 2 The numerator is greater than the denominator of the fraction 204/165, so write the given fraction in the expression form in terms of denominator as like the below:
= 204/165
= 165 + 39/165

step 3 Make the above expression as individual fractions:
= 165/165 + 39/165

step 4 Simplify the above expression:
= 1 x 165/165 + 39/165
= 1 + 39/165
= 1 + 13 x 3/55 x 3
= 1 + 13/55
1 + 13/55 can be written as a mixed number 1 ¹³/₅₅.


step 5 Find the decimal equivalent for the fractional part 13/55 in the above expression:
= 1 + 0.2364
= 1.2364
204/165 = 1.2364

Hence,
204/165 as a decimal is 1.2364
204/165 as a mixed number is 1 ¹³/₅₅