214/15 as a Decimal and Mixed Number

214/15 as a decimal and mixed number expansion provides the detailed information about what is 214/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

214/15 as a Decimal
214/15 = 14.2667
Hence,
214/15 as a decimal equals to 14.2667
where,
214/15 is a given fraction,
The decimal expansion of 214/15 is 14.2667

214/15 as a Mixed Number
214/15 = (210 + 4)/15
= 210/15 + 4/15
= 14 + 4/15
= 14 4/15
214/15 = 14 4/15

Hence,
214/15 as a mixed number is 14 ⁴/₁₅
where,
214/15 is a given fraction,
14 ⁴/₁₅ is the mixed number representation of 214/15.

The below work with steps provide the detailed information about how to convert fraction 214/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 214/15

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 214/15.

step 2 The numerator is greater than the denominator of the fraction 214/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 214/15
= 210 + 4/15
= (14 x 15) + 4/15

step 3 Make the above expression as individual fractions:
= (14 x 15)/15 + 4/15

step 4 Simplify the above expression:
= 14 x 15/15 + 4/15
= 14 + 4/15
14 + 4/15 can be written as a mixed number 14 ⁴/₁₅.


step 5 Find the decimal equivalent for the fractional part 4/15 in the above expression:
= 14 + 0.2667
= 14.2667
214/15 = 14.2667

Hence,
214/15 as a decimal is 14.2667
214/15 as a mixed number is 14 ⁴/₁₅