220/15 as a Decimal and Mixed Number

220/15 as a decimal and mixed number expansion provides the detailed information about what is 220/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

220/15 as a Decimal
220/15 = 14.6667
Hence,
220/15 as a decimal equals to 14.6667
where,
220/15 is a given fraction,
The decimal expansion of 220/15 is 14.6667

220/15 as a Mixed Number
220/15 = (210 + 10)/15
= 210/15 + 10/15
= 14 + 10/15
= 14 10/15
220/15 = 14 10/15

Hence,
220/15 as a mixed number is 14 ¹⁰/₁₅
where,
220/15 is a given fraction,
14 ¹⁰/₁₅ is the mixed number representation of 220/15.

The below work with steps provide the detailed information about how to convert fraction 220/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 220/15

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 220/15.

step 2 The numerator is greater than the denominator of the fraction 220/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 220/15
= 210 + 10/15
= (14 x 15) + 10/15

step 3 Make the above expression as individual fractions:
= (14 x 15)/15 + 10/15

step 4 Simplify the above expression:
= 14 x 15/15 + 10/15
= 14 + 10/15
= 14 + 2 x 5/3 x 5
= 14 + 2/3
14 + 2/3 can be written as a mixed number 14 ²/₃.


step 5 Find the decimal equivalent for the fractional part 2/3 in the above expression:
= 14 + 0.6667
= 14.6667
220/15 = 14.6667

Hence,
220/15 as a decimal is 14.6667
220/15 as a mixed number is 14 ²/₃