355/23 as a Decimal and Mixed Number

355/23 as a decimal and mixed number expansion provides the detailed information about what is 355/23 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

355/23 as a Decimal
355/23 = 15.4348
Hence,
355/23 as a decimal equals to 15.4348
where,
355/23 is a given fraction,
The decimal expansion of 355/23 is 15.4348

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

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

The below work with steps provide the detailed information about how to convert fraction 355/23 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 355/23

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 355/23.

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

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

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


step 5 Find the decimal equivalent for the fractional part 10/23 in the above expression:
= 15 + 0.4348
= 15.4348
355/23 = 15.4348

Hence,
355/23 as a decimal is 15.4348
355/23 as a mixed number is 15 ¹⁰/₂₃