345/165 as a Decimal and Mixed Number

345/165 as a decimal and mixed number expansion provides the detailed information about what is 345/165 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

345/165 as a Decimal
345/165 = 2.0909
Hence,
345/165 as a decimal equals to 2.0909
where,
345/165 is a given fraction,
The decimal expansion of 345/165 is 2.0909

345/165 as a Mixed Number
345/165 = (330 + 15)/165
= 330/165 + 15/165
= 2 + 15/165
= 2 15/165
345/165 = 2 15/165

Hence,
345/165 as a mixed number is 2 ¹⁵/₁₆₅
where,
345/165 is a given fraction,
2 ¹⁵/₁₆₅ is the mixed number representation of 345/165.

The below work with steps provide the detailed information about how to convert fraction 345/165 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 345/165

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 345/165.

step 2 The numerator is greater than the denominator of the fraction 345/165, so write the given fraction in the expression form in terms of denominator as like the below:
= 345/165
= 330 + 15/165
= (2 x 165) + 15/165

step 3 Make the above expression as individual fractions:
= (2 x 165)/165 + 15/165

step 4 Simplify the above expression:
= 2 x 165/165 + 15/165
= 2 + 15/165
= 2 + 1 x 15/11 x 15
= 2 + 1/11
2 + 1/11 can be written as a mixed number 2 ¹/₁₁.


step 5 Find the decimal equivalent for the fractional part 1/11 in the above expression:
= 2 + 0.0909
= 2.0909
345/165 = 2.0909

Hence,
345/165 as a decimal is 2.0909
345/165 as a mixed number is 2 ¹/₁₁