213/15 as a Decimal and Mixed Number

213/15 as a decimal and mixed number expansion provides the detailed information about what is 213/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

213/15 as a Decimal
213/15 = 14.2
Hence,
213/15 as a decimal equals to 14.2
where,
213/15 is a given fraction,
The decimal expansion of 213/15 is 14.2

213/15 as a Mixed Number
213/15 = (210 + 3)/15
= 210/15 + 3/15
= 14 + 3/15
= 14 3/15
213/15 = 14 3/15

Hence,
213/15 as a mixed number is 14 ³/₁₅
where,
213/15 is a given fraction,
14 ³/₁₅ is the mixed number representation of 213/15.

The below work with steps provide the detailed information about how to convert fraction 213/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 213/15

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 213/15.

step 2 The numerator is greater than the denominator of the fraction 213/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 213/15
= 210 + 3/15
= (14 x 15) + 3/15

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

step 4 Simplify the above expression:
= 14 x 15/15 + 3/15
= 14 + 3/15
= 14 + 1 x 3/5 x 3
= 14 + 1/5
14 + 1/5 can be written as a mixed number 14 ¹/₅.


step 5 Find the decimal equivalent for the fractional part 1/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 14 + (1/5 x 2/2)
= 14 + 2/10

step 6 Simplify the above expression further:
= 14 + 0.2
= 14.2
213/15 = 14.2

Hence,
213/15 as a decimal is 14.2
213/15 as a mixed number is 14 ¹/₅