225/165 as a Decimal and Mixed Number

225/165 as a decimal and mixed number expansion provides the detailed information about what is 225/165 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

225/165 as a Decimal
225/165 = 1.3636
Hence,
225/165 as a decimal equals to 1.3636
where,
225/165 is a given fraction,
The decimal expansion of 225/165 is 1.3636

225/165 as a Mixed Number
225/165 = (165 + 60)/165
= 165/165 + 60/165
= 1 + 60/165
= 1 60/165
225/165 = 1 60/165

Hence,
225/165 as a mixed number is 1 ⁶⁰/₁₆₅
where,
225/165 is a given fraction,
1 ⁶⁰/₁₆₅ is the mixed number representation of 225/165.

The below work with steps provide the detailed information about how to convert fraction 225/165 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 225/165

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 225/165.

step 2 The numerator is greater than the denominator of the fraction 225/165, so write the given fraction in the expression form in terms of denominator as like the below:
= 225/165
= 165 + 60/165

step 3 Make the above expression as individual fractions:
= 165/165 + 60/165

step 4 Simplify the above expression:
= 1 x 165/165 + 60/165
= 1 + 60/165
= 1 + 4 x 15/11 x 15
= 1 + 4/11
1 + 4/11 can be written as a mixed number 1 ⁴/₁₁.


step 5 Find the decimal equivalent for the fractional part 4/11 in the above expression:
= 1 + 0.3636
= 1.3636
225/165 = 1.3636

Hence,
225/165 as a decimal is 1.3636
225/165 as a mixed number is 1 ⁴/₁₁