271/15 as a Decimal and Mixed Number

271/15 as a decimal and mixed number expansion provides the detailed information about what is 271/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

271/15 as a Decimal
271/15 = 18.0667
Hence,
271/15 as a decimal equals to 18.0667
where,
271/15 is a given fraction,
The decimal expansion of 271/15 is 18.0667

271/15 as a Mixed Number
271/15 = (270 + 1)/15
= 270/15 + 1/15
= 18 + 1/15
= 18 1/15
271/15 = 18 1/15

Hence,
271/15 as a mixed number is 18 ¹/₁₅
where,
271/15 is a given fraction,
18 ¹/₁₅ is the mixed number representation of 271/15.

The below work with steps provide the detailed information about how to convert fraction 271/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 271/15

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 271/15.

step 2 The numerator is greater than the denominator of the fraction 271/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 271/15
= 270 + 1/15
= (18 x 15) + 1/15

step 3 Make the above expression as individual fractions:
= (18 x 15)/15 + 1/15

step 4 Simplify the above expression:
= 18 x 15/15 + 1/15
= 18 + 1/15
18 + 1/15 can be written as a mixed number 18 ¹/₁₅.


step 5 Find the decimal equivalent for the fractional part 1/15 in the above expression:
= 18 + 0.0667
= 18.0667
271/15 = 18.0667

Hence,
271/15 as a decimal is 18.0667
271/15 as a mixed number is 18 ¹/₁₅