220/165 as a Decimal and Mixed Number

220/165 as a decimal and mixed number expansion provides the detailed information about what is 220/165 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

220/165 as a Decimal
220/165 = 1.3333
Hence,
220/165 as a decimal equals to 1.3333
where,
220/165 is a given fraction,
The decimal expansion of 220/165 is 1.3333

220/165 as a Mixed Number
220/165 = (165 + 55)/165
= 165/165 + 55/165
= 1 + 55/165
= 1 55/165
220/165 = 1 55/165

Hence,
220/165 as a mixed number is 1 ⁵⁵/₁₆₅
where,
220/165 is a given fraction,
1 ⁵⁵/₁₆₅ is the mixed number representation of 220/165.

The below work with steps provide the detailed information about how to convert fraction 220/165 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 220/165

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 220/165.

step 2 The numerator is greater than the denominator of the fraction 220/165, so write the given fraction in the expression form in terms of denominator as like the below:
= 220/165
= 165 + 55/165

step 3 Make the above expression as individual fractions:
= 165/165 + 55/165

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


step 5 Find the decimal equivalent for the fractional part 1/3 in the above expression:
= 1 + 0.3333
= 1.3333
220/165 = 1.3333

Hence,
220/165 as a decimal is 1.3333
220/165 as a mixed number is 1 ¹/₃