231/15 as a Decimal and Mixed Number

231/15 as a decimal and mixed number expansion provides the detailed information about what is 231/15 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

231/15 as a Decimal
231/15 = 15.4
Hence,
231/15 as a decimal equals to 15.4
where,
231/15 is a given fraction,
The decimal expansion of 231/15 is 15.4

231/15 as a Mixed Number
231/15 = (225 + 6)/15
= 225/15 + 6/15
= 15 + 6/15
= 15 6/15
231/15 = 15 6/15

Hence,
231/15 as a mixed number is 15 ⁶/₁₅
where,
231/15 is a given fraction,
15 ⁶/₁₅ is the mixed number representation of 231/15.

The below work with steps provide the detailed information about how to convert fraction 231/15 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 231/15

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 231/15.

step 2 The numerator is greater than the denominator of the fraction 231/15, so write the given fraction in the expression form in terms of denominator as like the below:
= 231/15
= 225 + 6/15
= (15 x 15) + 6/15

step 3 Make the above expression as individual fractions:
= (15 x 15)/15 + 6/15

step 4 Simplify the above expression:
= 15 x 15/15 + 6/15
= 15 + 6/15
= 15 + 2 x 3/5 x 3
= 15 + 2/5
15 + 2/5 can be written as a mixed number 15 ²/₅.


step 5 Find the decimal equivalent for the fractional part 2/5 in the above expression:
Multiply both numerator and denominator by 2 to make the denominator as powers of 10:
= 15 + (2/5 x 2/2)
= 15 + 4/10

step 6 Simplify the above expression further:
= 15 + 0.4
= 15.4
231/15 = 15.4

Hence,
231/15 as a decimal is 15.4
231/15 as a mixed number is 15 ²/₅