355/15 as a Decimal and Mixed Number

355/15 as a decimal and mixed number expansion provides the detailed information about what is 355/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

355/15 as a Decimal
355/15 = 23.6667
Hence,
355/15 as a decimal equals to 23.6667
where,
355/15 is a given fraction,
The decimal expansion of 355/15 is 23.6667

355/15 as a Mixed Number
355/15 = (345 + 10)/15
= 345/15 + 10/15
= 23 + 10/15
= 23 10/15
355/15 = 23 10/15

Hence,
355/15 as a mixed number is 23 ¹⁰/₁₅
where,
355/15 is a given fraction,
23 ¹⁰/₁₅ is the mixed number representation of 355/15.

The below work with steps provide the detailed information about how to convert fraction 355/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 355/15

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 355/15.

step 2 The numerator is greater than the denominator of the fraction 355/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 355/15
= 345 + 10/15
= (23 x 15) + 10/15

step 3 Make the above expression as individual fractions:
= (23 x 15)/15 + 10/15

step 4 Simplify the above expression:
= 23 x 15/15 + 10/15
= 23 + 10/15
= 23 + 2 x 5/3 x 5
= 23 + 2/3
23 + 2/3 can be written as a mixed number 23 ²/₃.


step 5 Find the decimal equivalent for the fractional part 2/3 in the above expression:
= 23 + 0.6667
= 23.6667
355/15 = 23.6667

Hence,
355/15 as a decimal is 23.6667
355/15 as a mixed number is 23 ²/₃