218/15 as a Decimal and Mixed Number

218/15 as a decimal and mixed number expansion provides the detailed information about what is 218/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

218/15 as a Decimal
218/15 = 14.5333
Hence,
218/15 as a decimal equals to 14.5333
where,
218/15 is a given fraction,
The decimal expansion of 218/15 is 14.5333

218/15 as a Mixed Number
218/15 = (210 + 8)/15
= 210/15 + 8/15
= 14 + 8/15
= 14 8/15
218/15 = 14 8/15

Hence,
218/15 as a mixed number is 14 ⁸/₁₅
where,
218/15 is a given fraction,
14 ⁸/₁₅ is the mixed number representation of 218/15.

The below work with steps provide the detailed information about how to convert fraction 218/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 218/15

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 218/15.

step 2 The numerator is greater than the denominator of the fraction 218/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 218/15
= 210 + 8/15
= (14 x 15) + 8/15

step 3 Make the above expression as individual fractions:
= (14 x 15)/15 + 8/15

step 4 Simplify the above expression:
= 14 x 15/15 + 8/15
= 14 + 8/15
14 + 8/15 can be written as a mixed number 14 ⁸/₁₅.


step 5 Find the decimal equivalent for the fractional part 8/15 in the above expression:
= 14 + 0.5333
= 14.5333
218/15 = 14.5333

Hence,
218/15 as a decimal is 14.5333
218/15 as a mixed number is 14 ⁸/₁₅